Author Archives: school

1) Assertion: The area of a parallelogram and a rectangle having a common base and between same parallels are equal.

Reason: Another name of a rectangle is a parallelogram.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

2) Assertion: The parallelogram on the same and between the same parallel are equal in area.

Reason: The areas of parallelogram between the same parallels are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: c) assertion  is true but reason is false

3) Assertion: Congruent triangles have equal areas but converse is not true

Reason:If two triangles area are same areas, they will be congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

4) Assertion: Two triangles having the same base (or equal bases) and equal areas lie between the same parallels

Reason: Triangle area is (1/2) X base X height. With same base and area, height should be equivalent, which means they lie on same parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: The diagonals of a ||gm divide it into four triangle of equal area.

 Reason : A diagonal of a ||gm divides it into two triangle of equal area.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

6) Assertion: The area of a trapezium whose parallel sides measure 25 cm and 15 cm respectively and the distance between them is 6 cm, is 120 `cm^(2)`

Reason: area of trapezium=1/2(a+b)h

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

7) Assertion: The perimeter of a parallelogram is the total distance enclosed by its boundary.

Reason: The perimeter of a parallelogram depends on the length of its four sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

8) Assertion: The Sum of adjacent angles of a parallelogram is equal to 180 degrees

Reason: The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

9) Assertion: square is a parallelogram

Reason: the opposite sides are parallel to each other, and the diagonals of the square bisect each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for the Assertion

10) Assertion: the area of a parallelogram  is 40 cm whose base is 5 cm and height is 8 cm.

 Reason: area of parallogram = base *height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

11) Assertion: In figure, E is any point on median AD of a ∆ABC. Then arc (ABE) = arc (ACE).

Reason: A median divides the triangle into two triangles of equal areas

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

12)  Assertion: the diagonals of a parallelogram divide it into four triangles of equal area.

Reason:  sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is correct explanation for Assertion

13) Assertion: In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, AD=10.8

Reason: opposite side of parallogram are unequal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason is false

14) Assertion: If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD then ar (EFGH) =1/2ar (ABCD

 Reason: opposite side of parallogram are equal and parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

15) Assertion: two congruent figure have equal area

Reason: two equal area figure are always congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason is false

16) Assertion: product of base and corresponding altitude is known as area of parallogram

 Reason: arc of parallogram is product of diagonal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

17) Assertion: Parallelogram having the same base and equal areas lie between the different parallels

Reason: If parallelogram and triangle are on the same base and between the same parallels then area of triangle is half of the area of parallogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

18) Assertion: Opposite side of parallogram are always parallel

 Reason:  ‘parallel lines’ means parallel lines are the two lines that never meet.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: Diagonals of a parallelogram are not bisect each other.

Reason: the sum of angle of parallogram is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

20) Assertion: The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm respectively. The area of the parallelogram is 35

Reason: area of parallogram = base*height

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

21) Assertion: If a triangle and parallelogram are on the same base and between the same parallels,

Reason: the area of the triangle is equal to half the area of a parallelogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

22) Assertion: In the parallelogram ABCD, then the value of x is 130°

Reason: Opposite angles are equal, and adjacent angles must sum to 180°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

23) Assertion: the perimeter of this parallelogram is 38+8√2 cm

Reason: The formula for the perimeter of a parallelogram is:

P = 2(side) + 2(base).

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

24) Assertion: the measures of ∠C and ∠B is  70°,110°in the parallelogram ABCD.

Reason: opposite angle of parallogram are not congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

25) Assertion: In the adjoining figure, ABCD is a parallelogram, AO and BO are the bisectors of ∠A and ∠B respectively. Then  that ∠AOB = 90°.

Reason: the sum of two adjacent angles of a parallelogram is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

26) Assertion:In the parallelogram PQRS, Pq = 6 cm and SR : RQ = 2 : 1.  18 cm is  the perimeter of the parallelogram.

Reason:  perimeter of parallogram = 2(a+b)

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

27) Assertion:

is a acute angle triangle type

Reason: A triangle that has all three angles less than 90° is an acute angle triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

28) Assertion:

is aright angled triangle

Reason: A triangle that has all three angles less than 90° is an acute angle triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

29) Assertion: The other two angles of a right-angle triangle are acute angles.

Reason:measurement of right angle is 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

30) Assertion: it is scalene type of a  triangle

Reason: A triangle that has all three sides of different lengths is a scalene triangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

31) Assertion: The sum of all interior angles of any triangle is equal to 180°

Reason: The triangle have three interior angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

32) Assertion: The sum of the lengths of any two sides of a triangle is always greater than the length of the third side

Reason: the difference between the lengths of any two sides of a triangle is always less than the length of the third side

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

33) Assertion: Sum of length of any two sides of a triangle is always greater than the third side.

Reason: Sum of length of any two sides of a triangle is always equal to the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is true but reason are false

34) Assertion: A right-angled triangle can be a scalene triangle or an isosceles triangle.

Reason: It depends on whether the lengths of the perpendicular and the base are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation of Assertion

35) Assertion:in  any triangle, the three medians meet at a point.

Reason:  The point of intersection of the medians in a triangle is called the centroid of the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

36) Assertion: the triangle is acute, obtuse, or right-angled, the incentre always lies inside a triangle.

Reason: The point of intersection of the internal bisectors of the three angels in a triangle is called the incentre of a triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

37) Assertion:For an acute-angled triangle, the circumcentre always lies inside the triangle

Reason: the angle whose measurement less than 90° and greater than 0° is known as acute angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

38) Assertion:An equilateral triangle has 3 equal angles that are 60° each.

Reason: equilateral triangle is a triangle in which all three sides have the same length.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

39) Assertion: A triangle has three straight sides that connect.

Reason:The length of the sides can vary but the length of the largest side can’t be equal or greater to the sum of the other two sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

40) Assertion:The two angles that are equal in an isosceles triangle are the two base angles.

Reason: An isosceles triangle has two equal sides that meet at a point.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

41) Assertion: the value of x is 60° if PQRS is a parallelogram.

Reason: opposite angle of parallogram are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

42) Assertion: Given PQRS is a parallelogram, 1.2 is the ratio of OQ/OR if PR = 10cm and QS = 12cm

 Reason: the diagonal of parallogram are bisect each other

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

43) Assertion:  angle bisector of a parallelogram form a rectangle

Reason: every parallelogram is a rectangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct and reason is false

d) both Assertion and reason are false

Ans:c) Assertion is correct but reason is false

1) Assertion: The angles of a quadrilateral are x°, (x – 10)°, (x + 30)° and (2x)°, the smallest angle is equal to 58°

Reason : Sum of the angles of a quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

2) Assertion: If the diagonals of a parallelogram ABCD are equal, then ∠ABC = 90°

Reason : If the diagonals of a parallelogram are equal, it becomes a rectangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: A parallelogram consists of two congruent triangles.

Reason : Diagonal of a parallelogram divides it into two congruent triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

4) Assertion: ABCD is a square. AC and BD intersect at O. The measure of ∠ABC = 900.

Reason : Diagonals of a square bisect each other at right angles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

5)  Assertion: ABCD and PQRC are rectangles and Q is a midpoint of AC . Then DP = PC.

Reason : The line segment joining the midpoint of any two sides of a triangle is parallel to the third side and equal to half of it.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

6) Assertion: In ΔABC , median AD is produced to X such that AD =DX . Then ABXC is a parallelogram.

Reason : Diagonals AX and BC bisect each other at right angles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

7) Assertion: The consecutive sides of a quadrilateral have one common point.

Reason : The opposite sides of a quadrilateral have two common point

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

8) Assertion: Two opposite angles of a parallelogram are (3x-2)°and (50-x)° The measure of one of the angle is 37°

Reason : Opposite angles of a parallelogram are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

9) Assertion: If the angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then the measure of angles are 40°, 60°, 140°, 120°, respectively.

Reason : The sum of the angles of a quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) Assertion is true but reason is false

10) Assertion: In ΔABC , E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP.

Reason : Q is the midpoint of AP

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

11) Assertion: every square is a rectangle

Reason: every rectangle is a square

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

12) Assertion: every square is rhombus

Reason: every rhombus is a square.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

13) Assertion: all parallogram are quadrilateral

Reason: all parallogram are rectangle

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false

14) Assertion: every trapazoid is a parallelogram.

Reason: a trapazoid is a quadrilateral whose opposite side are parallel

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false.

15) Assertion: all quadrilateral are not parallelogram

Reason: quadrilateral that don’t  have parallel side

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

16) Assertion: every square is a rectangle

Reason: because it is a quadrilateral with all four angles right angles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

17) Assertion: every square is a rhombus

Reason: it has four equal-length sides and goes above and beyond that to also have four right angle

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

18) Assertion: the value of xin given figure is 140°

Reason: sum of angles of quadrilateral is 360°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: all the four angles of a quadrilateral cannot be obtuse.

Reason: because obtuse angle is grater than 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

20) Assertion: kite is not rhombus

Reason: because only one adjacent pair of side are equal and only one pair of opposite angle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

21) Assertion: adjacent side of rhombus are equal

Reason: the opposite side of rhombus are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: a parallogram whose adjacent are equal is known  as rhombus

Reason: the diagonas of parallogram are not bisect each other

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

23) Assertion: a geometric shape whose four side four angle and four vertices is known as quadrilateral

Reason: rhombus is a qudrilateral

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

24) Assertion: the quadrilateral whose diagonal are bisect each other at the right angle is known as rhombus

Reason: opposite vertices of a rhombus are joined, they form the diagonals of a rhombus.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

25) Assertion:  the area of a rhombus is 24cm^2 having diagonals equal to 6 cm and 8 cm.

Reason: area of rhombus =(d₁*d₂₎/2

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is Correct explanation for Assertion

26) Assertion: rectangle is equiangular

Reason: all angles of rectangle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

27) Assertion: The interior angle of a rectangle at each vertex is 90°.

Reason: The sum of all interior angles is 360°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

28) Assertion: A rectangle is 6 m wide and 3 m high, 18m^2 is its Area

Reason: area of rectangle= leangth*breadth

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

29) Assertion: A rectangle is 12 cm long and 5 cm tall, 34cm is its Perimeter?

Reason: perimeter of rectangle =2*(leangth*breadth)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

30) Assertion: A rectangle is 12 cm wide, and 5 cm tall, 13cm is the length of a diagonal

Reason: leangth of diagonal of rectangle I= √(a^2+b^2)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

31) Assertion: 1.44 sq.m the area of a square clipboard whose side measures 120 cm.

Reason: area of square= side^2

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

32) Assertion: ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to40°

Reason: in rhombus opposite angles are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

33) Assertion: diagonal of parallogram are divide into two congruent triangle

Reason: in a parallelogram opposite angle are not equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is correct but reason is fslse

34) Assertion: all quadrilateral are not rectangle

Reason: all quadrilateral are parallogram

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false

35) Assertion: diagonal of trapezium are equal

Reason: diagonal of trapezium are perpendicular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:d) both Assertion and reason are false

36) Assertion: If one angle of a parallelogram is twice of its adjacent angle, then  the angles of the parallelogram are 120°,60°,120°,and 60°

Reason: in a parallelogram sum of adjacent angle is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

37) Assertion: triangle is not quadrilateral

Reason: quadrilateral is a polygon it has four side

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is correct explanation for Assertion

38) Assertion: rectangle have leangth and breadth

Reason: the largest side of rectangle is breadth

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

39) Assertion: The diagonals in a square bisect each other at 90°

Reason: The diagonals in a square divide the square into four congruent equilateral right-angles triangles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

c) Assertion is correct but reason is false.

d) both Assertion and reason are false.

Ans:c) Assertion is true but reason is false

1) Assertion : In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of ΔABC such that AX = AY then CX = BY.

Reason: If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

2)  Assertion : In the given figure, BO and CO are the bisectors of ∠B and ∠C respectively. If ∠A = 50° then ∠BOC = 115°

Reason: The sum of all the interior angles of a triangle is 180°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: Two angles measures a – 60° and 123º – 2a. If each one is opposite to equal sides of an isosceles triangle, then the value of a is 61°.

Reason: Sides opposite to equal angles of a triangle are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

4) Assertion: Assertion : In ΔABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = 4 cm

Reason: In a triangle, angles opposite to two equal sides are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

5) Assertion: In ΔABC, BC = AB and B = 80°. Then, ∠A = 50°

Reason: In a triangle, angles opposite to two equal sides are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

6) In ΔABC, D is the midpoint of BC. If DL I AB and DM I AC such that DL = DM, then BL = CM

Reason: If two angles and the included side of one triangle are equal to two angles

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

7) Assertion : Sides opposite to equal angles of a triangle are equal.

Reason: Angles opposite to equal sides of a triangle are not equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

8) Assertion : In ΔABC, AB = AC and ∠B = 50°, then ∠C is 50°.

Reason: Angles opposite to equal sides of a triangle are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

9) Assertion : ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E, then ΔABD ≅ ΔACD

Reason: If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but  reason is not correct explanation for Assertion.

10) Assertion: In triangles ABC and PQR, ∠A = ∠P, ∠C = ∠R and AC = PR. The two triangles are congruent by ASA congruence.

Reason: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

11) Assertion : In ΔABC and ΔPQR, AB = PQ, AC = PR and ∠BAC = ∠QPR then ΔABC ≅ ΔPQR

Reason: Both the triangles are congruent by SSS congruence.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

12) Assertion: In the given figure, BE and CF are two equal altitudes of ΔABC then ΔABE ≅ ΔACF

Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

13) Assertion: In ABC, ∠A = ∠C and BC = 4 cm and AC = 3 cm then the length of side AB = 3 cm.

Reason: Sides opposite to equal angles of a triangle are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) Assertion is true but  reason is false.

14) Assertion : If the altitudes from two vertices of a triangle to the opposite sides are equal, then the triangle is an isosceles triangle.

Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

15)Assertion : In the given figure, ABCD is a quadrilateral in which AB || DC and P is the midpoint of BC. On producing, AP and DC meet at Q then DQ = DC + AB.

Reason: If two sides and the included angle of one triangle are equal to two sides

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

16) Assertion: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent

Reason: if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion: Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.

Reason: ∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other i.e. BC= QR. Hence, Δ ABC ≅ Δ PQR  by AAS test

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

18) Assertion: In a Δ ABC, if AB = AC and ∠ B = 70°,  ∠ A=40

Reason: sum of angle of triangle  is 179°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct reason is false

19) Assertion: equilateral means unequal side.

Reason: all equilateral triangle are not isosceles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason is false.

20) Assertion:equiangular means equal angles.

Reason: all isosceles triangle are equilangular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

21) Assertion: all equiangular triangles are isosceles.

Reason: all equilateral triangle are equiangular.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: all equilateral triangle are acute .

Reason: all acute triangles are equiangular

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

23) Assertion: All the sides of a square are of equal length.

Reason: all squares are congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is true but reason is false.

24) Assertion: In ΔABC,∠A=100° ,∠B=30°and ∠C=50° then AB>AC

Reason: the side opposite to largest angle is longest side of triangle .

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

25) Assertion: If length of the largest side of a triangle is 12 cm then other two sides of triangle can be 4.8 cm, 8.2cm

Reason: Sum of any two sides of a triangle is greater than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

26) Assertion: In congruent triangle corresponding part are equal.

Reason: Two triangles are congruent if any two pairs of angle and pairs of corresponding sides are equal

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is  not correct explanation for Assertion.

27) Assertion: the triangle in which two sides are equal is called isosceles triangle.

Reason:angle opposite to  equal sides of an isosceles triangle are unequal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false

28) Assertion: each angle of equilateral triangle is 60°

Reason: all angles are equal then it is called equilateral triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

29) Assertion: Area of triangle = 1/2*base *height

Reason: area of right angled triangle = 1/2*product ofside making 90°

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

30) Assertion: triangle consist three side ,three vertices.

Reason: triangle is open polygon

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

31) Assertion: all the sides and angle are unequal are called scalene triangle.

Reason: scalene triangle has point of symmetry.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false.

32) assertion: A scalene triangle can be an obtuse-angled, acute-angled or right-angled triangle.

Reason: In a scalene obtuse triangle, the circumcenter will lie outside the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

33) Assertion: the area of the scalene triangle ABC with the sides 8 cm, 6 cm and 4 cm is 11.6cm^2

Reason: Area of triangle =  √s(s−a)(s−b)(s−c)

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

34) Assertion: If the sides of a triangle are 9cm, 13 cm and 14cm.  36 its perimeter

Reason: perimeter of triangle= a+b+c

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

35) Assertion: Scalene triangle has all its three angles different in measures and obeys the angle sum property

Reason: the sum of the three interior angles equals 150 degree

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c)  Assertion is correct but reason is false

36) Assertion:The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.

Reason: The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

37) Assertion: The vertex of the triangle that is opposite is called the apex.

Reason: The angle at the apex of the triangle is called the vertex angle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

38) Assertion: A straight line drawn from the apex to the base is known as the altitude of the triangle.

Reason: The length of this line is the height of the triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

39) assertion: In an equilateral triangle, median, angle bisector, and altitude for all sides are all the same.

Reason: The area of an equilateral triangle is √3a^2/ 4

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

40) Assertion: If any of the incenter, orthocenter or centroid coincide with the circumcenter of a triangle, then it is called an equilateral trtriangle

Reason: height of equilateral triangle is √3a/4

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

41) Assertion: ABC is an equilateral triangle, then each angle equals to 60°

Reason: Equilateral triangle has all its sides equal and each angle measures 60°.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

42) Assertion: In a right triangle, the longest side is hypotenus.

Reason: the side opposite to the largest angle will be the smallest one.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

43) Assertion: SSA is  a criterion for the congruence of triangles.

 Reason: SAS, ASA and SSS are not the criteria for the congruence of triangles.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false

44) Assertion: In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are isosceles but not congruent

Reason: two  isosceles triangle are always congruent.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false

45) Assertion:  In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is 2 cm

Reason: the sides opposite to equal angle are unequal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d)  both Assertion and reason are  false

46) Assertion: Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be 3.4

Reason: the difference between the two sides of a triangle should be less than the third side.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

47) Assertion: In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to50°

Reason: the given triangle is an isosceles triangle, the angles opposite to the equal sides are also equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

48) Assertion: two figures are congruent if they have same shape and same size.

Reason: two circles of different radii are congruent

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

49) Assertion: D is a point on side BC of Δ ABC such that AD = AC then AB<AD

Reason:  : In any triangle, the side opposite to the larger (greater) angle is smaller

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false

 50) Assertion: each angle of equilateral triangle is always 50°

Reason: equilateral triangle is always obtuse angled triangle.

a) both Assertion and reason are correct and reason is correct explanation for Assertion.

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is true but reason is false.

d) both Assertion and reason are false.

Ans: d) both Assertion and reason are false.

1) Assertion: two angles are called adjacent if they have common vertex

Reason: the adjacent angle have common interior point.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is  false.

2) Assertion: the sum of two adjacent angle is 100° and one of them is 35° then other is 65°

Reason: adjacent angle are always supplementary.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

3) Assertion: an exterior angle of triangle is equal to sum of two interior opposite angle.

Reason: if two angles are complementary of each other then each angle is acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b)both Assertion and reason are correct but reason is not correct explanation of Assertion

4) Assertion: 80° is an acute angle type

Reason: the angle which is less than 90° is known as acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

5) Assertion: the measurment of angle A is 160 ° and it’s type is obtuse angle

Reason: the angle which is greater than 90°and smaller than 180° is known as obtuse angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

6) Assertion: The supplement of the angle (120+a−2b)° is (60−a+2b)°

Reason:  if the sum of two angle is 180° then the angle are supplementary

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

7) Assertion: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is right angle triangle

Reason: In △ABC,∠A=∠B+∠C  sum of angles = 180

∠A+∠B+∠C=180

∠A+∠A=180

∠A=90° Thus, △ABC, is a right angled triangle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Assertion and reason are correct and reason is correct explanation for Assertion.

9) Assertion: complementary angle of 72(1/2)° is 17(1/2)

Reason: sum of two complementary angle is 90°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is not correct explanation for Assertion

10) Assertion: 183° is a type of reflex angle

Reason: a reflex angle is smaller than straight angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

11) Assertion: In ΔABC, ∠A=43°and ∠C=70°then   the measure of ∠B is 67°

Reason: sum of angle of triangle is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

12) Assertion: sum of two adjacent angle is 70°

Reason: Two angles which have a different vertex, a different arm and same interiors are said to be adjacent angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: d) both Assertion and reason are false

13) Assertion : Sum of the pair of angles 120° and 60° is supplementary.

Reason: Two angles, the sum of whose measures is 180°, are called supplementary angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

14)  Assertion: The angles of a triangle are in the ratio 2:3: 4. The largest angle of the triangle is 80°.

Reason: The sum of all the interior angles of a triangle is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

15) Assertion: If angles ‘a’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.

Reason: Sum of linear pair of angles is always 250°.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: d) both Assertion and reason are false

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 100°

Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

18) Assertion: An angle is 14º more than its complementary angle, then angle is 52º.

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason assertion

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

19) Assertion: Supplement of angle is one fourth of itself. The measure of the angle is 144°

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

20) Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.

Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct and reason is correct explanation for Assertion

21)  Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°

Reason: A triangle with one of its angle 90°, is called a right triangle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: A triangle can have two obtuse angles.

Reason: The sum of all the interior angles of a triangle is 150°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

23) Assertion: The name Straight-angle comes from straight-line.

Reason: The sum of angles that are formed on a straight line is equal to 180°.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

24) Assertion: A line segment is a part of a line with two end-points.

Reason: a line can be extended from both side

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

25) Assertion: Two lines are said to be parallel when they do not meet at any point or which do not intersects each other.

Reason: Parallel lines never meet no matter how much they are extended in either direction.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason aassertion

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

26) Assertion:a ray has only one end points.

Reason: A ray is a part of a line, which has a starting point and tends infinitely in both direction.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct and reason is false

27) Assertion: If the inclination between the arms is less than a right angle, it is called an acute angle.

Reason: 134° is type of acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

28) Assertion: If the arms form an angle of 90 degrees between them, it is called a right angle.

Reason: Two angles whose sum is equal to 90 degrees are called supplementary angles.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

29) Assertion: Two angles whose sum is equal to 90 degrees are called complementary angles.

Reason: 58° and 32° are the complements of each other.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  correct explanation for Assertion

30) Assertion: Two angles which are formed, opposite to each other, when two lines intersect at a point or vertex, are called vertically opposite angles.

Reason: A pair of vertically opposite angles are always equal to each other

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

31) Assertion: Bisectors of the adjacent angles forming a linear pair form a right angle.

Reason: Angles forming a linear pair can both be acute angles

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

32) Assertion: If the supplement of an angle is three times its complement, then angel is45°

Reason: Two complementary angles with a different  vertex and a different arm are called adjacent complementary angles.

correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

33) Assertion: two adjacent angle always  formed a linear lair.

Reason: All linear pairs of angles are adjacent angles and all adjacent angles are linear pairs.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

34) Assertion: a segment has  leangth

Reason: three lines are concurrent if they have common points

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

35) Assertion: 91° is an example of acute angle

Reason: A triangle which consists of three acute angles. It means that all the angles are less than 90 degrees is known as acute angle triangle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

36) Assertion: straight angle is an 180°

Reason: reflex angle is grater than straight angle and less than complete angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion  and reason are correct but reason is not correct explanation for Assertion.

37) Assertion: two adjacent angle are equal. It is not necessary that each of these angle will be right angle.

Reason: two adjacent angles are equal .it is necessary that each of these angle will be a right angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

38) Assertion: Perpendicular lines always meet or intersect each other.

Reason: The angle between any two perpendicular lines is always equal to 90.°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

39) Assertion: an exterior angle of a triangle is equal to sum of corresponding two interior opposite angle

Reason: three pairs of corresponding angles formed by a transversal of two parallel lines

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

40) Assertion: ∠A and ∠B are supplementary angles. ∠A=x+10° and ∠B=x−10° then ∠A and ∠B are 100° and 80°

Reason: The angles x−10° and 190°-x are  supplementary

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b)both asertion and reason are correct but reason is not correct explanation for Assertion.

41) Assertion: 70° is an acute angle type

Reason: the time is 12:30 o’clock, the angle formed between the hour hand and the minute hand is an acute angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct but reason is false

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

43) Assertion: The adjacent angles on a straight line are (5x−6)° and 7(x+6)° then the  value of x is  12

Reason: sum of adjacent angle on straight line is 180°

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

44) Assertion: straigth angle>right angle>reflex angle

Reason: right angle> obtuse angle > acute angle

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

45) Assertion: (110(1/2))° is a acute angle

Reason : 55° is less than 90 degrees and greater than 0 degrees , so it is called as acute angle.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

47) Assertion: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.

Reason: Two parallel lines intersect at One point

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

48) Assertion: 60° is the complement of 30°

Reason: The complement angle of 80° is π/18 radian

a) both assertion and reason are correct and reason is the correct explanation for assertion

b) both assertion and reason are correct but reason is not correct explanation for assertion

c) assertion is true but reason is false

d both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion

1) Assertion: There can be infinite number of lines that can be drawn through a single point.

Reason: . from this point we can draw only two lines.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false.

2) Assertion: Through two distinct points there can be only one line that can be drawn.

Reason: . . From this two point we can draw only one line

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) Assertion and reason are correct and reason is correct explanation for Assertion.

3) Assertion: According to Euclid’s 1st axiom- “Things which are equal to the same thing are also equal to one another”.

Reason:  if AB = PQ and PQ = XY, then AB = XY

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

4) Assertion: If two circles are equal, then their radii are equal.

Reason: The circumference and the centre of both the circles coincide; and thus, the radius of the two circles should be equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion: Parallel lines are those lines which never intersect each other

Reason: Parallel lines can be two or more lines.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

6) Assertion:  A dimensionless dot which is drawn on a plane surface is known as point.

Reason: A point is that which has no part.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

7) Assertion: : A collection of points that has only length and no breadth is known as a line

Reason: the line segment cannot be extended from both sides.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

8) Assertion: A collection of points that has only length and no breadth is known as a line

Reason: line can be extended from both side

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

9) Assertion: The whole is always greater than the part.

Reason: A cake when it is whole or complete, assume that it measures 2 pounds but when a part from it is taken out and measured, its weigh will be smaller than the previous measurement.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans:a) Assertion and reason are correct and reason is correct explanation for Assertion.

10) Assertion: A figure formed of line segments only is called a rectilinear figure.

Reason: A circle is a rectilinear figure.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is correct but reason is false.

11) Assertion: The line drawn from the center of the circle to any point on its circumference is called radius of a circle

Reason: the line from any point on the circumference of the circle to the center of the circle is known as diameter of a circle

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false.

12) Assertion: Euclid’s fifth postulate does imply the existence of the parallel lines.

Reason: If the sum of the interior angles is equal to the sum of the right angles, then the two lines will not meet each other at any given point, hence making them parallel to each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

14) Assertion: , if AB = CD, then AC = BD.

Reason: above statement we can prove by Euclid axiom 2 equals are added to equals, then the wholes are equal.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

15) Assertion: it is given that AD=BC. Then AC =BD

Reason: above line we can prove by Euclid axiom 3 If equals are subtracted from equals, the remainders are equal.”

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

16) Assertion: If A, B and C are any three points on a line and B lies between A and C  then prove that AB + BC = AC.

Reason: Euclid’s axiom 4, states that things which coincide with one another are equal to one another.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

17) Assertion: A Greek mathematician, thales is credited with giving the first known proof.

Reason: The first known proof that ‘the rectangle is bisected by its diameter was given by Pythagoras

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false.

Ans: c) assertion is correct but reason is false.

18) Assertion: 3 + 7 = 9 is a statement.

Reason: A sentence that can be judged to be true or false, but not both, is called a statement.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

19) Assertion: According to Euclid’s second axiom, when equals. are added to equals, the wholes are equal.

Reason: Ram and Ravi have the same weight. If they each gain weight by 2 kg, second Euclid’s axiom will be used to compare their weights?

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  correct explanation for Assertion

20) Assertion:  Euclid’s fifth postulate imply the existence of parallel lines.

Reason: The sum of the interior angles will be equal to sum of the two right angles then two lines will not meet each other on either sides and therefore they will be parallel to each other.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

21) Assertion: If lines AB ,AC ,AD and AE are parallel to line l , the point A,B,C,D,E are collinear.

Reason : infinite line can be drawn through A and parallel to l.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: c) Assertion is true but reason is false

22) Assertion:  An infinite number of lines can be drawn to pass through a given point.

Reason: A line segment has two end-points.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

23) Assertion: The locus of points which is at a same distance from single point is called as ellipse

Reason: two lines are said to be perpendicular when angle between them is 80°

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: d) both Assertion and reason are false

24) Assertion: Boundaries of surfaces are curves.

Reason: surfaces are dimensional figures and their boundaries are one-dimensional which curves are.

a) both Assertion and reason are correct and reason is correct explanation for Assertion

b) both Assertion and reason are correct but reason is not correct explanation for Assertion

c) Assertion is correct but reason is false

d) both Assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

1) Assertion: An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b  are not both zero, is called a linear equation in two variables.

Reason:  A linear equation in two variables has infinitely many solutions.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

2) Assertion: The graph of every linear equation in two variables is a straight line.

Reason:  x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

3) Assertion:  the graph of y = a is a straight line parallel to the y-axis.

Reason:The graph of x= a is a straight line parallel to the x-axis.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

4) Assertion: . An equation of the type y = mx represents a line passing through the origin.

Reason: Every point on the graph of a linear equation in two variables is a solution of the quadratic equation.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

5) Assertion: There are infinite number of lines which passes through (3, 2).

Reason: A linear equation in two variables has infinitely many solutions.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

6) Assertion: If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.

Reason: The solution of the line will satisfy the equation of the line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

7) Assertion: If x = 2k – 1 and y = k is a solution of the equation 3x – 5y – 7 = 0, then the value of k is 10.

Reason: A linear equation in two variables has infinitely many solutions

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

8) Assertion:  Assertion: x + y = 3 is not  the equation of a line passing through the origin.

Reason: y = 2x is the equation of a line passing through the origin.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

9) Assertion: Assertion: X = 3 and y = 2 is a solution of the linear equation 2x + 3y = 12.

Reason: X = 4 and y = 2 is a solution of the linear equation x + 3y = 10.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

10) The point (3, 0) lies on the graph of the linear equation 4x + 3y = 12.

Reason: (3, 0) satisfies the equation 4x + 3y = 12.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  the correct explanation for Assertion

11) Assertion: A linear equation in two variables has infinitely many solutions.

 Reason:  A linear equation 3x + 5y = 2 has a unique solution.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: assertion is true but reason is false

12) Assertion : The graph of the linear equation 2x – y = 1 passes through the point (2, 3).

Reason: Every point lying on graph is not a solution of 2x – y = 1.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

13) Assertion: Assertion: y = 3x represents a line passing through the origin.

Reason: Any line parallel to the x-axis is y = a.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

14) Assertion: The point (2, 2) is the solution of x + y = 4.

Reason: Every point which satisfy the linear equation is a solution of the equation

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both assertion and reason are true and reason is the correct explanation for assertion.

15) Assertion: The graph of the linear equations 3x+2y=12 and 5x-2y=4 gives a pair of intersecting lines.

Reason: The graph of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 gives a pair of intersecting lines if a1/a2 ≠ b1/b2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

16) Assertion: If the pair of lines are coincident, then we say that pair of lines is consistent and it has a unique solution.

Reason: If the pair of lines are parallel, then the pairs has solution and is called inconsistent pair of equations.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false

17) Assertion: The linear equations x-2y-3=0 and 3x+4y-20=0 have exactly one solution

Reason: The linear equation 2x+3y-9=0 and 4x+6y-18=0 have a unique solution.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

18) Assertion: The graph of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 gives a pair of intersecting lines if a1/a2 ≠ b1/b2

Reason: the graphical representation of the equations x+2y=3 and 2x+4y+7=0 gives a pair of coincident lines.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is correct and reason is false.

19) Assertion: The value of k for which the system of equations 3x+ky=0 and 2x-y=0 has a unique solution is k ≠ -3/2

Reason: The graph of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 gives a pair of intersecting lines if a1/a2 ≠ b1/b2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion

20) Assertion: The number of common solutions for the system of linear equations 5x+4y+6=0 and 10x+8y=12 is zero.

Reason: The graph of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 gives a pair of intersecting lines if a1/a2 ≠ b1/b2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

21) . Assertion: The value of k for which the system of linear equations 3x-4y=7 and 6x-8y=k have infinite number of solution is 14.

Reason: The graph of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 gives a pair of intersecting lines if a1/a2 ≠ b1/b

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

22) Assertion:  If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.

Reason: A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason. Is false

23) Assertion: The value of q=±2, if x=3, y=1 is the solution of the line 2x+y-q2-3=0.

Reason: The solution of the line will satisfy the equation of the line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are true and reason is the correct explanation for Assertion

24) Assertion: getting a solution is to take x = 0 and get thecorresponding value of y. Similarly, we can put y = 0 and obtain the corresponding value of x.

Reason: 4x+3y=12 Taking x = 0, we get 3y = 12, i.e., y = 4. So, (0, 4) is a solution of the given equation. Similarly, by taking y = 0, we get x = 3. Thus, (3, 0) is also a solution.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a)both  Assertionand reason are correct  and  reason is the correct explanation for Assertion

25) Assertion: the linear equation in two variblec3x-11y=10 has infinitely many solution.

Reason: 3x-11y=10

y=(3x-10)/11 for infinite values of x, y will also have infinite solutions.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

26) Assertion: 3x+10 =0 will has only one solution

Reason: 3x+10 = 0,   x = -10/3.

Hence, only one solution is possible.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion

27) Assertion: The solution of equation x-2y = 4 is (0,2)

Reason: The graph of linear equation x+2y = 2, cuts the y-axis at (2,0)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

28) Assertion: Any point on line x = y is of the form (k, k)

Reason: The graph of x = 3 is a line parallel to the y-axis at a distance of 2units from the origin

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

29) Assertion: in equation y= mx+ c is a slope

Reason: linear equation in two variables is of the form ax + by + c = 0, where a ≠ 0, b ≠ 0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

30) Assertion: Any point on the x-axis is of the form (x,0)

Reason: Any point on the x-axis is of the form (x, 0). On the x-axis,  x can take any values, whereas y should be equal to 0.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion

31) Assertion:Any point on the y-axis is of the form (0,y)

Reason:  Any point on the y-axis is of the form (0, y). On the y-axis, y can take any values and x should be equal to 0.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

32) Assertion: The linear equation 2x – 5y = 7 has no solution.

Reason: The linear equation 3x – y = x – 1 has unique solution.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

33) Assertion: The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point(0,2)

Reason: The equation 2x + 5y = 7 has a unique solution, if x, y are natural number.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

34) Assertion: The point of the form (a, a) always lies on y=x

Reason: If we multiply or divide both sides of a linear equation with the same non-zero number, then the solution of the linear equation remains the same.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

35) Assertion: the graph  of y=4x is line passing through the origin.

Reason: the pair of equations x=0 and x=5 has two solutions.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertio

36) Assertion: One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be. -10x-25y+15=0

Reason: If a pair of linear equations is consistent, then the lines will be intersecting or coincident

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:  b) both Assertion and reason are correct but reason is not correct explanation for Assertion

37) Assertion: The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have no solution

Reason: Two equations in two variables taken together are called linear equation

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c)Assertion is true but reason is false

38) Assertion:  the system of equations ax + by = c, lx + my = n, has a unique solution.

Reason: Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are parallel.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

39) Assertion: If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are (19/5,6/5)

Reason: The graph of the equation 2x + 3y = 5 is a straight line

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

40) Assertion: x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is 1/2

Reason: Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points (x,0) ,(y,0)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: C) Assertion is true but reason is false

41) Assertion: Solution of linear equation 2x + 0.y + 9 = 0 is(-9/2,0)

Reason: Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation x-2y-10=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b)both Assertion and reason are correct but reason is not correct explanation for Assertion

42) Assertion: If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is x= 6y+5

Reason:Equation of a line passing through origin is x- y=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) assertion is true but reason is false.

43) Assertion: Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equationx=2y

Reason: If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form y-x=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

44) Assertion: The equation y = 5, in two variables, can be written 0.x+1.y=5

Reason: The solution of a linear equation is not affected when the same number is added to or subtracted from both the sides of the equation

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion

45) Assertion: 2x+3y=4.37 is a linear equation in two variable

Reason ax+b is also written as ax+0y +b

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

46) Assertion: 2x+3y=7 is linear equation  and the value of a=2,b=3,c=7

Reason: ax+by+c =0 is the form of linear equation where a,b,c are the real number.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is not correct explanation for Assertion

47) Assertion: 1/x+1/y=1/6 is the not  linear equation in two variable.

Reason: 6x+6y=xy  is not form of the y=mx+c ,hence it is not linear equation.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

48) Assertion: the graph of linear equation in two variables need not be a line .

Reason:  one number is 5  more than seven times the other number it can be represented by x+7y=5

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

49) Assertion: linear equation in one variable has only one variable  with power one

Reason:  4x+6=0 is a linear equation in one variable

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

50) Assertion: if (1/5)-x=-4/5 then xis 1

Reason: p/4+p/3=55-(p+40)/50 then the value of p is 89.834

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion

51) Assertion: If 4a−3=13, then the value of 10a²−5a+6.is 149

Reason: Every horizontal line has an undefined slope.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

52) Assertion: The graph of every linear equation in two variables need not   be a line.

Reason : The x-intercept of 6x-5y=30 is (5, 0)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

53) Assertion: A linear system with fewer equations than unknowns must have infinitely many solutions.

Reason: If the system Ax=b has a no solution, then A must be a square matrix.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false.

54) Assertion: This  system is a linear system:x+y=2 ,2x-3y=0

Reason: Some equations may not even be linear to begin with, but they can be brought to a linear form by multiplying both sides of the equation by a suitable expression.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

55) Assertion: Just as numbers, variables can, also, be transposed from one side of the equation to the other

Reason: 3(t-3)=5(2t+1) is +1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) both Assertion and reason are false

56) Assertion: The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. Then the breadth of the pool is 25

Reason: Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. then the age of Baichungs grandfather is 22

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

57) Assertion: 5x−2(2x−7)=2(3x−1)+ 7/2 is -2

Reason: x+3 is an example of two variable expression

​a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

58) Assertion: In equations, we have positive sign which is missing in expressions.

Reason: In an equation the values of the expressions on the LHS and RHS are different

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)  both assertionis and  reason are false

59) Assertion: If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation remains the same

Reason:

The graph represents the linear equation x = 3.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct abut reason is not correct explanation for Assertion.

60) Assertion: If the temperature of a liquid can be measured in Kelvin units as x°K or in Fahrenheit units as y°F, the relation between the two systems of measurement of temperature is given by the linear equation y = 9/5(x-273)+32. If the temperature is 158° F, then the temperature in Kelvin is 343°k

Reason: The Autorikshaw fare in a city is charged Rs 10 for the first kilometer and Rs 4 per kilometer for subsequent distance covered. Then  the linear equation to express the above statement is Y=4x+6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both are correct but reason is not correct explanation for Assertion.

1) Assertion: The horizontal line is called x-axis

Reason :The vertical line is called x-axis

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for assertion.

2) Assertion: Point A(-7, -9) lies on III quadrant

Reason: A point both of whose coordinates are negative lies in III quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

3) Assertion: : A point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant

Reason: Points of the type (-; +) lie in the second quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

4) Assertion: The perpendicular distance of a point from y-axis is called its x-coordinate.

Reason: The x co-ordinate of the point on y-axis is zero.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion.

5) Assertion: Point (4, -2) lies in IV quadrant.

Reason:Point (-1,2) lies in Il-quadrant and (2,- 1) lies in IV quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

6) Assertion: The points (-7, 2) and (2,- 7) are at different positions in the coordinate plane.

Reason:The perpendicular distance of the point A(5, 6) from the y-axis is 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:c) Assertion is true but reason is false.

7) Assertion: The abscissa of a point (4, 8) is 4.

Reason:The point (0,4) lies on y-axis.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

8) Assertion : A point both of whose coordinates are negative will lie in third quadrants

Reason: If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) b assertion is true but reason is false.

9) Assertion:  the section formed by horizontal and vertical  lines determining the poisition of a point in a Cartesian plane is called quadrant.

Reason: the point of intersection of horizontal and vertical  line determining the position of point in a Cartesian plane is called origin.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion

10) Assertion: Abscissa of a point is positive in I andIV quadrant

Reason: If (x + 2, 4) = (5, y – 2), then coordinates (x, y) are(3,6)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both assertion and reason are Corry and reason but reason is not correct explanation for assertion.

11) Assertion: mirror image of the point on the (9,-8) in x-axis is (-9,-8)

Reason: The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is (6,5)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

12) Assertion: The point M lies in the IV quadrant. The coordinates of point M are(a,-b)

Reason: The number of parts the coordinates axes divide the plane is four quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

13) Assertion: abscissa of all points on y-axis is 0

Reason: ordinate of all points on y-axis is any number.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

14) Assertion: If the perpendicular distance of a point P from the x-axis is 7 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has y coordinate is 7 or -7 only

Reason: The coordinates of any point on the y-axis are of the form (0, k), where |k| is the distance of the point from the x-axis

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true bu the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

15) Assertion:The point P on x -axis equidistant from the points A( -1,0)and B(5,0)is (2,0)

Reason: distance of the point P(3,4) from x-axis is 6 units

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:c) both Assertion is true but reason is false

16) Assertion: If the points (a,0),(0 ,b )and (1, 1) are collinear, then 1/a+1/b=1

Reason : condition of collinierity x₁y₂+x₂y₃+x₃y₁=x₂y₁+x₃y₂+x₁y₃

ab+0+0=0+b+a

                                                  1/a+1/b=1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both asst and reason are true and reason is the correct explanation for Assertion.

17) Assertion: the coordinate of origin are (0,0)

Reason : the distance from the y-axis is called y co-ordinate

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c)assertion is correct but reason is false.

18) Assertion:  if x ≠ y,then the position of (x, y) in the Cartesian plane is different from the position of (y, x).

Reason:  a point is in the 1st quadrant, then the point will be in the form (+, +)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

19) Assertion: x-co-ordinate is also called as abscissa

Reason : y-cordinate is also called as ordinate.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

20) Assertion: the coordinates describe  the points in the plane uniquely.

Reason: in second quadrant (x,y) is (+,+)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

21) Assertion: the equation of line parallel to y-axis is x=k

Reason: the coordinate pair (x,y) is called as ordered pair

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

22) Assertion: (x,y) shows three dimensional co-ordinate system

Reason: ordinate of all points in the x-axis is -1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

23) Assertion: the points(-1,-5) lies in III quadrant.

Reason: In III quadrant (x,y) is (-,-).

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

24) Assertion:  The point (+4,+5) is lies in 2nd quadrant.

Reason: The point (0,-5) lies in x-axis.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

25) Assertion: The distance of the point P(2,3) from the x-axis is 3.

Reason: the distance from the x-axis is equal to its ordinate .

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

26) Assertion:The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is 53

Reason:  Area of ΔABC = 12 [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

27) Assertion: The distance of the point (α, β) from the origin is√(α²+β²)

Reason:The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is 11

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

28) Assertion: The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio 3:4

Reason: If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is -6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

29) Assertion: The points (1,1), (-2, 7) and (3, -3) are collinear.

Reason: The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is (16/3, 6)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

30) Assertion: The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is 0

Reason: Area of ΔABC = 12 [-1.5(-2 – 4) + 6(4 – 3) + (-3) (3 + 2)] = 12 [9 + 6 – 15] = 0. It is a straight line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for assertion.

31) Assertion: If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then2a=b

Reason:  If the distance between the points (x, -1) and (3, 2) is 5, then the value of x ib 7

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

32) Assertion: . The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a Rectangle.

Reason: AB = CD and BC = AD hence given points A,B,C and D are the vertices of a rectangle.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

33) Assertion: The distance between the points A (0, 6) and B (0, –2) is 8

Reason: . AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is√32

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false.

34) Assertion: The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the IV quadrant.

Reason: The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is 1:5

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

35) Assertion: The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is scalene triangle

Reason: all 3 sides have different lengths, so it is a scalene triangle.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion

36) Assertion: the coordinate of the point ( 5/2, 0) where the line2x-3y-5 =0 cut the x-axis.

Reason:  line 2x-3y-5=0 will cut the x-axis at x=0,also it satisfy the equation of line 2x–5=0

x=5/2 hence, (5/2,0)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.

37) Assertion: If the vertices of triangle ABC are A(5,-1),B(-3,-2) C(-1,8) the length of median A through will be √65

Reason: A line intersects the y-axis and x-axis at the points P and Q . If (2, -5) is the mid-point of PQ, then the coordinates of P and Q will be1/3

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ansb) both Assertion and reason are correct but reason is not correct explanation for Assertion.

39) Assertion:  If the distance of P(x,y)  from A(6, 2) and B(-2 ,6)are equal, then y=3x

Reason:  (5/3,3) are the co-ordinates of the points of trisection of the line segment joining the points A(1,-2) and B(-3,4)

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans : d) both Assertion and reason are false.

40) Assertion: The ordinate of a point A on y-axis is 5 and B has coordinates (–3, 1). Then the length of AB is 5 units.

Reason: the points o(0,0) lies in quadrant I

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: Assertion is true but reason is false

41) Assertion: the mirror image of the pointA(4,5) in the y-axis is A'(-4,5)

Reason:the point (0,-6) lies in III quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:c) Assertion is true but reason is false.

42) Assertion: the points (-6,-7) lies in III qudrant

Reason: the signs of point inthe I,II, III,IV quadrants are (+,+),(-,+),(-,-),(+,-).

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion

43) Assertion: ordinate 3 and absicca 6 the this point lie in I quadrant

Reason: absicca 7 and ordinate -4 the the point lie in IV quadrant

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion.

44) Assertion: the perpendicular distance  of the point (5,6) from x-axis is 6

Reason:the perpendicular distance of the point(2,3) from y-axis is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) Assertion and reason are correct but reason is not correct explanation for Assertion

45) assertion:

Reason:

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

46) Assertion: A Cartesian plane consists of two mutually perpendicular lines intersecting at their zeros. 

Reason: The Cartesian plane consists of two perpendicular and directed lines whose intersection point is the zero point for both the lines.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is the correct explanation for assertion

47) Assertion: the point (x,y) lies in the I quadrant where x<0,y<0

Reason: In  11:10 ratio is the line segment joining (−2,4) and (−3,2) divided by the line x−y=5

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

48) Assertion: the point(x,0) ,x<0 lies on ox’

Reason: (0,14),(0,-28/3) are the points on the y−axis whose distance from the line  3x + 4y =1 is 8 unit

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion

49) Assertion:  (0,0) the co-ordinates of the point which divides the line segment joining P(-3,-4) and Q(6,8) in the ratio 1:2.

Reason:the distance between points M (4,5) and N (-3,8)is √58

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

50) Assertion: Reflection of a point P(x,y) across the X−axis is Q(x,−y), which is found by changing the sign of the y-coordinate of P(x,y).

Reason:Reflection of a point P(x, y) across the Y-axis is Q(-x,y), which is found by changing the sign of the x-coordinate of P(x,y).

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

51) Assertion: 3x+4y=7 is the equation of a line parallel to 3x+4y = 5 and passing through points (1,1).

Reason::Mid-point divides the given line in the ratio of 1:1.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans:b) both Assertion and reason are correct but reason is not correct explanation for Assertion

52) Assertion: (-7,0) the point on the x-axis which is equidistant from (2, – 5) and (- 2, 9).

Reason: 5 or -6 are the values of y for which the distance between the points P (2, – 3) and Q (10, y) is 10 units.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: c) Assertion is true but reason is false

53) Assertion: -6 is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)

Reason: x+3y=-18  is the equation of a line having slope -1/3 and y-intercept equal to 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false.

54) Assertion: 1 is the slope of the line passing through the points J (-2, 3) and (2, 7)

Reason: [(y₂-y₁)/(x₂-x₁)]

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: a) both Assertion and reason are correct and reason is  the correct explanation of assertion

55) Assertion: (3,4) is the coordinates of the circum-centre of the triangle whose vertices are (0, 0), (8,0) and (0,6).

Reason: The distance of the point P(-6, 8) from the origin is 10

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

56) Assertion: The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is 11

Reason: The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason is false .

57) Assertion: the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then AP= 1/4

Reason: The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is 7

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

58) Assertion: 10x+29=4y is the relation between x and y such that the point P(x, y) is equidistant from the points A (2, 5) and B (-3, 7)

Reason: 1:7 is the ratio in which the point P(3/4,5/12) divides the line segment joining the points A(1/2,3/2) and B(2, -5).

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d) both Assertion and reason are false

59) Assertion: If the point P(x, y) is equidistant from the points A(a + b, b – a) and B(a – b, a + b), then bx = ay.

Reason: If the points A(x, y), B(3, 6) and C(-3, 4) are collinear, then x – 3y + 15 = 0.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b)both are Assertion and reason are correct but reason is not correct explanation for Assertion.

1) Assertion: The constant  polynomial 0 is called zero polynomial.

Reason:√x+3 is a polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true the reason is false.

2) Assertion: degree of non zero constant polynomial is zero

Reason: polynomial having two terms are called binomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

3) Assertion: y²-5 is a quadratic polynomial.

Reason: degree of polynomial 2 is called quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

4) Assertion: 2x-1 is the linear polynomial.

Reason: A polynomial of degree 1 is called linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion:  the degree of zero polynomial is not defined.

Reason : Each term of polynomial has coefficient.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason is correct but reason is not correct explanation for Assertion.

6) Assertion:  5t-√7  it’s degree is 1

Reason: the highest power of the varible is 1 so the degree of polynomial is 1.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

7) Assertion:  a polynomial can have more than one zero.

Reason: every real number is zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

8) Assertion : 2a²+5 value of polynomial at a= 2 is 136

Reason:  p(x) x+2  is not a zero polynomial at x=-2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are false.

9) Assertion: 3x²+ x-1 = (x+1)(3x-2)+1

Reason : dividend = divisor *quotient + remainder.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

10) Assertion : x³+x  has only one real zero.

Reason: A quadratic polynomial  can have at most two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

11) Assertion: Assertion : If one zero of poly-nominal p(x) = (k² + 4)x² + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:  b) both assertion and reason are correct but reason is not correct explanation for Assertion.

12) Assertion: a quadratic polynomial can have at most two zero.

Reason: x²+7x +9 has two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

13) Assertion : If the product of the zeroes of the quadratic polynomial x² + 3x + 5k

is -10 then value of k is -2.

Reason : Sum of zeroes of a quadratic polynomial ax² + bx + c is –b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion  and reason are true but reason is not correct explanation for Assertion .

14) Assertion: The polynomial 3x⁴-4x^-3/2+x² is not a polynomial

Reason: because the power in the term 4x^3/2which is not a whole number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

15) Assertion: a polynomial of degree 3 is called cubic polynomial.

Reason: 3z³-2z²+7z+9 is a cubic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

16) Assertion: A quadratic polynomial can have at the most two zeroes.

Reason: Sum of zeroes of a quadratic polynomial ax²+bx+c is -b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion.

17) Assertion: The highest power of x in the polynomial P(x) is the degree of the polynomial.

Reason: 7x⁹-5x³+4x⁵+3The degree of polynomial is 3.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

18) Assertion:  If one zero of polynomial p(x) = (k²+4)x²+13x+4k is reciprocal of the other, then k=2.

Reason: Irrational zeros  always occurs in pairs.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion .

19) Assertion: x³+x has only one real zero.

Reason: A polynomial of nth degree must have n real zeroes

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) assertion true but reason is false.

20) Assertion: If one zero of polynomial p(x) = (k2+4)x2+13x+4k is reciprocal of the other, then k=2.

Reason: If (x-a) is a factor of p(x), then p(a) = 0 i.e., a is a zero of p(x).

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b ) both assertion and reason are correct but reason is not correct explanation for Assertion.

21) Assertion: Zeroes of polynomial  p(x)=x²-3x+2 is 1

Reason:7x is the zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false

22) Assertion: In a homogeneous expression, all the terms will have same degree.

Reason :The degree of the equation, given  (x+2)(x-1)=(x+1)(x+3), is 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and reason  are correct but reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

23) Assertion: p(x) = x⁵   degree=5

Reason: 4√t+t⁶degree is 6

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) assertion is true but reason is false.

24) Assertion: degree of p(x)= -2/7 is 0

Reason: degree of p(x)= x³y²z⁵ is 10

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

25) Assertion: The degree of the sum of two polynomials each of degree 5 is always 5.

Reason: 3x-2 is a quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d)both Assertion and reason are false.

26) Assertion: a linear polynomial has one and only one zero always.

Reason: zero of polynomial  x²-4x+3 are 1,3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are true but reason is not correct explanation for Assertion.

27) Assertion: The polynomials in which the highest power of the variable in any term is one are known as linear polynomials.

Reason: if (2x²-3x+1)(2x²+5x+1) =9x² then equation has four equal roots.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

28) Assertion: a real number α is said to be a zero of the polynomial p(x) if  p(α)=0

Reason: The zero polynomial is the additive identity of the additive group of polynomials.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

29) Assertion: A polynomial whose coefficients are all equal to 0 is called zero polynomial.

Reason: a degree of p(x)=7xyz is 3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is correct but reason is not correct explanation for Assertion.

30) Assertion: 2x²-5x+9 is a quadratic polynomial.

Reason: 5x+8 is  not a linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

31) Assertion: if a,b,c be the zero of polynomial f(x)=ax³+bx²+cx+d then sum of zeros =

 -cofficent of x²/-cofficent ofx³

Reason:(2-√3) is one zero of quadratic polynomial then other zero will be (2+√3)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

32) Assertion: Polynomial is the algebraic equation in the form of single variable.

Reason : polynomial which has three term are called trinomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason is true but reason is not correct explanation for Assertion.

33) Assertion:x²+7y is not polynomial.

Reason: the sum of several terms that contain different powers of the same variablesis known as polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion vand reason are correct and reason is the correct explanation for Assertion.

34) Assertion: p(x)=1,p(x)=5 are the zero of zero  ploynomial

Reason : all real number is the zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct but reason is the correct explanation for Assertion.

35) Assertion: If (x-1) is the factor of 4x³+3x²-4x+k then k=-3

Reason: (x+y)² =x²+y²+2xy

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason correct but reason is not correct explanation for assertion.

36) Assertion: (3x+4y)³ =27x³+64y³+36xy(3x+4y)

Reason: (x+y)³= x³+y³+3xy(x+y)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

37) Assertion: degree of cubic polynomial is 3

Reason: degree of quadratic polynomial is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

38) Assertion: (x+1)is the linear factor of 3x²+8x+5

Reason: 3x²+8x+5 = (3x+5)(x+1)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

39) Assertion: the value of 10²-9²=19

Reason: 10²-9²=100-81=19

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

40) Assertion: if (x+2) is a factor of x³ -2ax²+16  the value of a is 7

Reason: if one of the factor of x²+x-20 is (x+5)and other is ( x+4)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both assertion and reason are false.

41) Assertion: . If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is p-q-1.

Reason: If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is 9.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:d) both Assertion and reason are false

42) Assertion: The maximum number of zeroes that a polynomial of degree 4 can have is 4.

Reason: The graph of the polynomial p(x) = 5x – 7 is a straight line which intersects the x-axis at exactly one point  is (7/5, 0)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason isnotcorrect explanation for Assertion.

43) Assertion: The graph of the polynomial ax² + bx + c is a downward parabola if a=0

Reason: if a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is ≤ 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b)both assertion and reason are correct but reason is not correct explanation for assertion.

44) Assertion: x³+0x²+0x-64 by x-4 quotient is x²+4x+16

Reason: dividend = divisor *quotient+ remainder

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans : a) both assertion and reason is the correct explanation for assertion

45) Assertion: if α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is 0

Reason: x² – 16=0

X²=16 ,x=+4,-4

4(-4)(4-4)=-16(0)=0

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: a) both  assertion and reason are correct but reason is not correct explanation for assertion.

46) Assertion: the graph of qudratic  polynomial is parabola

Reason : if x+y=3 , x²+y^2.=5 then xy is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

47) Assertion: If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it has no linear term and the constant term is positive.

Reason:. The zeroes of the quadratic polynomial x2 + 99x + 127 are both positive.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And. d) both assertion and reason are false.

48) Assertion:. The zeroes of the quadratic polynomial x² + 99x + 127 are more than 4.

Reason : The number of polynomials having zeroes as -2 and 5 is 1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: c) assertion is true but reason is false.

49) Assertion:  if the graph of polynomial intersect the x-axis  at exactly two point then it can be cubic or qudratic polynomial.

Reason:  if y⁹⁷+97 is divided by (y+1) the remainder is 96

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion

50) Assertion: The LCM of (x²+x -6) and 4(4-x )² is 4(x+3)(x+2)(x-2)

Reason: x¹⁰⁰+2x⁹⁹+k is divisible by (x+1) then the value of k is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

51) Assertion: the factor of x⁴+4 are (x²+2x+2)(x²-2x+2)

Reason : the sum of zeroes of ax²+bx+c is -b/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

52) Assertion:  the product of (4+2x)(4-2x) is 4²-(2x)²

Reason: (a+b)(a-b) = a²-b²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for assertion

53) Assertion: the difference between the polynomial is7x-3x²+7 at x=1andx=2 is -2

Reason: if one of the zero of p(x) = 5×2+13x-m is the reciprocal of the other then the value of m is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but reason is false.

 54) Assertion:  a cubic polynomial x=f(y) cut Y axis at most 3points

Reason: graph of ax2+bx+c intersect x-axis at two distinct point if b²-4ac>=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

55) Assertion: if p(x)= 7x+7= 56 at x=7

Reason: The zeroes of a polynomial f (x) are the coordinates of the points where the graph of y f (x) intersects x-axis

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion .

56) Assertion: the value of polynomial x⁸-x⁵+x²-x+1 is positive for all real numbers

Reason : f(x) is positive f(x)>0 ,f(x) is positive for all real value x

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans : a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

57) Assertion: if a³-3a²b +3ab² is divided by a-b then the remainder is 0

Reason : a linear polynomial is always represented by straigth line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not the correct explanation for Assertion.

58) Assertion: if a,b,c are the zeroes of x³-2x²+qx-r and a+b =0then 2q=r

Reason: if a, b, c are the zeroes of tx³+ux²+vx+w then

a+b+c=-u/t, ab+bc+ca=v/a, abc= -w/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

59) Assertion:every polynomial equation has at least one real root

Reason: graph of quadratic polynomial is an ellipse.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)  both Assertion and reason are false.

60) Assertion: remainder is not equal to zero when the divisor is not the factor of dividend.

Reason : identity equation is valid for all the value of its variable .

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and  reason are correct but reason is not correct explanation for assertion.

61) Assertion: degree of the remainder is always smaller or less than the divisor.

Reason: if x= 0.6 then x+9x= 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

62) Assertion: (x+y+z)²= x²+ y² +z²

Reason : 25+36+64= (5+6+8)²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)both Assertion and reason are false.

63) Assertion: (100+4)³=1124864

Reason: (x+y)³=x³+y³+3x²y+3xy²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

^{Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.}

64) Assertion: 4x²+7x+8 cofficent of the polynomial are 4,7,8

Reason : 8 is the constant term in above polynomial.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both are correct but reason is not correct explanation for Assertion.

1) Assertion: 15 is the composite number.

Reason: 15 is odd number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:  b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

2) Assertion: every integer is a rational number

Reason: every integer is expressed in the form of m/1 so it is rational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

3)  Assertion: √5 is an irrational number.

Reason: A number is called irrational, if it cannot be written in the form p/q, where p and q are integers and q≠0

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

4) Assertion: 0.468 is a terminating decimal.

Reason: A decimal in which a digit or a set of digits is repeated periodically, is called a repeating, or a recurring decimal.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: b) Both Assertion and Reason are correct and Reason is not correct explanation for Assertion.

5) Assertion: -25 is  not a rational number.

Reason : -25 can not be written in in the form of p/q.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:d.) if both assertion and reason are false.

6) Assertion :every  whole number is  not a natural number.

Reason: zero is whole number but not natural number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

7)  Assertion: Every rational number is an integer.

Reason: 3/5 is not an integer.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) Both Assertion and reason are correct and reason is the correct explanation for Assertion.

8) Assertion: √2 is a irrational number.

Reason: it can not be written inthe  form of p/q.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a)  both Assertion and reason are correct and reason is the correct explanation for Assertion.

9)  Assertion: 3/5 is terminating decimal expansion

Reason: the remainder become zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

10) Assertion: 7 is rational number

Reason: square root of all rational number is irrational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

11) Assertion: Decimal expansion of every rational number is only terminating.

 Reason : Decimal expansion of every irrational number is terminating  recurring

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

12) Assertion: 1/7 and 2/7 in between only five irrational number are present.

Reason: Every rational number between limited irrational number are present.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

13) Assertion :7√5, √2+21 are the irrational number.

Reason: every integer is an rational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct and reason is not correct explanation for Assertion.

14) assertion: 31 is rational number.

Reason: square root of all rational number is always rational

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: c) Assertion is true reason is false.

15) Assertion: 6√2+7√2 is a rational number.

Reason: the sum of every rational and irrational number is irrational

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a)both  Assertion and reason are true and reason is the correct explanation of Assertion.

16) Assertion :the rationalizing factor of  2+√5 is 2-√5

Reason: the product or quotient of non zero rational number with  irrational number is rational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

17) Assertion :8√15÷2√3=4√5

Reason : quotient of non zero rational number with an irrational number is irrational.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: a)both assertion and reason are correct and reason is correct explanation for assertion.

18) Assertion: every rational number is written in the form if p/q where p and q are integers, q=0

reason : 7√3 is a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.)  both assertion and reason are false.

Ans: d) both Assertion and reason are false.

19) 10/3 is non terminating Decimal expansion .

 Reason: the remainder of non terminating Decimal expansion is never be zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion

20)  Assertion: 1/2=3/6=4/8are the equivalent rational numbers.

Reason: Every rational number is an integer.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but the reason is false.

21) Assertion: the real number is either rational or irrational.

Reason :√7 is a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)  Assertion is true but the reason is false.

22) Assertion : Sum of two irrational numbers 2 + √3 is an irrational number.

Reason : Sum of a rational number and an irrational numbers is always an irrational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a)both  assertion and reason is correct and reason is the correct explanation for assertion.

23) Assertion: sum of two irrational numbers 5+√3 and 7+√3 is a irrational number.

Reason: if the product of two irraational numbers is rational the each one is  called the rationalizing factor of other.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

And: b) both Assertion and reason are correct but reason is not the correct explanation for assertion.

24) Assertion :19⁹÷19⁸=19

Reason: if a>0  be a real number and  p and q be rational number then a^p÷a^q=a^p-q

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: a) both Assertion and reason are correct and reason is the correct explanation for assertion.}

^{25) Assertion : all the rational and irrational number makes up the collection of real number.}

^{Reason:if r is rational and s is irrational then r+s and r-s are irraational number.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: both Assertion and reason are correct but reason is the correct explanation for reason}

^{26) Assertion: 1,2,3,4 are the natural numbers.}

^{Reason:  1/4 ,2/7  9/5 are the rational numbers.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: d) both assertion and reason are false.}

^{27) Assertion: Natural numbers are a subset of integers.}

^{Reason: Natural numbers without zero are called positive integers, and when written with a negative sign are called as negative integers.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: both Assertion and reason are correct and reason is the correct explanation for reason .}

^{28) Assertion :Sum of two natural numbers is a natural number.}

^{Reason : All whole numbers are natural numbers.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: c) Assertion is true but the reason is false.}

^{29) Assertion: 2,3,5,7 are the prime numbers.}

^{Reason: A number, other than 1, which is not a prime number is called a composite number}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: both Assertion and reason are correct  but reason is not correct explanation for Assertion.}

^{30) Assertion: (2,3), (3,4), (5,7) are the coprime numbers pair}

^{Reason : Two numbers are co-prime of their HCF is 1.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: a) both Assertion and reason correct and reason is the correct explanation for Assertion.}

^{31) Assertion: 3√2 is a irrational number.}

^{Reason:  If m is a positive integer which is not a perfect cube, then  3√m is irrational}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.}

^{32) Assertion: The difference of rational and irrational number is irrational.}

^{Reason: Product of rational and irrational is irrational.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.}

^{32) Assertion: 1/6 is the reciprocal of 6}

^{Reason: Improper fraction is the fraction in which numerator is less than denominator.}

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

^{Ans: b) both Assertion and reason are correct but reason is not correct explanation for}

^{33) Assertion: All whole numbers are rational number except 0}

Reason:a^ma ⁿ=a^m+n

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

34) assertion: 4is the first smallest composite number.

Reason:1 is a prime number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)Assertion is true but reason is false.

35) Assertion:3√7+4√7=7√7

Reason:(3+4)√7= 7√7

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

And: a) both assertion and reason are true but reason is correct explanation for reason.

36) Assertion:0/9 is rational number.

Reason: 0/9 is a rational number that is equal to 0.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason is correct and reason is the correct explanation for assertion.

37) Assertion:the rational number equivalent to 7/9 is 49/63

Reason: (16)^4.   =2 ⁶

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) assertion is true but the reason is false.

38) assertion:  x^4. =X⁵/x ¹

Reason: a^b/a^c= a^b-c

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for assertion.

39) Assertion:3*8*9+6 is a composite number.

Reason:  A composite number has factors one,any natural  number and itself.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the correct explanation for Assertion

40) Assertion: the square root of any primenumber is irrational .

Reason: the rationlizong factor of 2+√7 is 5+ √ 3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

41) Assertion: the conjugate of 4+√6 is 4-√6

Reason: √27 is not a rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is correct but reason is correct explanation for Assertion

42) Assertion: The terminating decimal has a number of finite terms after the decimal point.

Reason : the decimal expansion of π is terminating.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

43) Assertion: The product of two consecutive positive integers is divisible by 2

Reason:the decimal expansion of 15/169999= 0.0065789

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but reason is false.

44) Assertion: 5⁰=1

Reason: a⁰=1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c)both  Assertion and reason is true and reason is the correct explanation for Assertion.

45) Assertion: 7¹=7

Reason: a¹=a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is correct and reason is the correct explanation for Assertion.

46) Assertion: (5⁷)³=5²¹

Reason: 9 is a irrational number

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct but reason is false.

47) Assertion: √n is rational if n is not a perfect square.

Reason : 1/aⁿ=a⁺ⁿ

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both Assertion and reason are false.

48)Assertion : the sum of first five prime number is 28

Reason: the sum of three consugative integer is 54

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

49) Assertion : the rationalize factor of 6+√7 is 6-√7.

Reason: 7,8,10,are the negative integers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is correct and reason is false.

50) Assertion: 1 is the multiplicative identity of set of natural number.

Reason: √ab = √a√b

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Reason : b) both Assertion and reason are true but reason is not correct explanation for reason.

51) Assertion: 7/8+9/8=16/8

Reason: p/q+r/q= p+r/q

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

52) Assertion: 3/5-2/12=13/30

Reason: p /q-r/s=ps-qr/qs

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

53) Assertion:  (18,25) is a pair of coprime numbers.

Reason:  pair of coprime number has common factor2.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

54) Assertion: Every point on the number line corresponds to a real number which may be either rational or irrational.

Reason: the Decimal representaion of the rational number 8/27 is 0.296.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is correct but reason is not correct explanation for Assertion.

55) Assertion: If two irrational number whose quotient is a rational number.

Reason: If two irrational number whose product is irrational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is not the correct explanation for Assertion.

56) Assertion : the Decimal fraction of12/125 is 0.096

Reason: the Decimal fraction of 1/9 is o.111.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is not correct explanation for Assertion.

57) Assertion: √(7*8)= √7*√8

Reason: √ab= √a*√b

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

58 ) Assertion:( 2+√2)²=6+4√2

Reason: (a+b)²=a²+b²+2ab

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

59) Assertion: {-1,-5,-6}  are the rational number.

Reason: All negative integers are rational number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct explanation for Assertion.

60) Assertion: coprime number are the number which are the having GCF as1.

Reason: any two prime numbers does not form the pairs of coprime numbers.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is correct but reason is false.

61) Assertion: In 56.49 the whole part is 56.00

Reason: in the number 3456 the place value of 4 is 400

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason is not correct explanation for Assertion.

62) Assertion: The smallest perfect number is 6, which is the sum of 1, 2, and 3.

Reason: The numbers which are the positive integers and which can be expressed as the sum of their proper divisors are called as perfect number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the correct explanation for Assertion.

63) Assertion: HCF of (23,53) is 1.

Reason : If p anand are primes,then HCF (p,q)=1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both Assertion and reason is the correct and reason is the explanation for Assertion.

64) Assertion : if p and  q are prime ,then HCF (p,q)=1

Reason: 123/6250 is a terminating Decimal.

Ans: b) both Assertion and reason is not  correct explanation for Assertion.

65)If a and b are two positive integers then HCF*LCM= a*b

Reason : A number N Is divided by 15 gives the remainder 2 then  the remainder  is same  when is divided by 5

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

66) Assertion: 32^2/5=4

Reason 🙁 32)^2/5=(2⁵)^2/5

             =2²=4

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.)  assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:a) both Assertion and reason are correct and reason is the correct explanation for Assertion.