Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
1.) Assertion :The distance point P(2,3) from the x-axis is 3.
Reason: The distance from x-axis is equal to its ordinary.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason 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
2.) Assertion: The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is-1.
Reason: The points are collinear if area of Δ = 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.
3.) Assertion: The area of triangle having vertices are A(3,1) B(12,2) C(0,2) is 6 units.
Reason: Area of triangle = 1/2{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 the correct explanation for Assertion.
4.) Assertion: The point (4, 0) lies on y-axis.
Reason : The x-coordinate on the point on y-axis is not 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: d) both assertion and reason are false.
5.) Assertion: The point (3,0) lies on x-axis.
Reason (R): The y-coordinate on the point on x-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: a) both assertion and reason are correct and reason is correct explanation for assertion.
6.) Assertion: The point(6,0) lies on x-axis.
Reason: the point (0,7) 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
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason 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) 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) both assertion and reason are correct and reason is correct explanation for assertion.
12.) Assertion: The points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram.
Reason: The coordinates of the mid-points of both the diagonals AC and BD are 1/2,1
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.
13.) Assertion: the mid-point of the line segment joining the points A (3, 4) and B (k, 6) is P (x, y) and x + y – 10 = 0, the value of k is 7
Reason: mid point of line segment is( (x1+x2)/2,(y1+y2)/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 correct and reason is correct explanation for assertion.
14.) Assertion: The distance of a point from the x -axis is its ordinate.
Reason: The distance of a point from the y-axis is called its x-coordinate,
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason 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.
15.) Assertion: The abscissa of point in the third quadrant is always negative.
Reason: The x coordinate of point in 2nd quadrant is always negative.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason 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.
16.) Assertion: The abscissa and ordinate of a point in IV quadrant have different sign.
Reason: The abscissa and ordinate of a point in IV quadrant
have same sign.
a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason 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.
17.) Assertion: The point (-1, 6) divides the line segment joining the points (-3, 10) and (6, -8) in the ratio2 :7 externally.
Reason : Three points A B and C are collinear if area of triangle ABC is not 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: d) both assertion and reason are false.
18.) Assertion. If area of triangle is non zero that means points are non collinear.
Reason : : Mid-point of a line segment divides line in the ratio 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.
19.) Assertion: Centroid of a triangle ABC with vertices A(x1,y1),B(x2,y2),C(x3,y3) is given by ((x1+x2+x3)/3,(y1+y2+y3)/3)
Reason: Centroid of a triangle formed by the point(a,b),(b,c),(c,a) is at origin then a+b+c=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.
20.) Assertion: The points (1,5) lies on the perpendicular bisectors of line segment joining the points p(6,5) Q(1,10)
Reason : the ordinate of points A on y axis is 5 and B has coordinates(-3,1) then the length of AB is 5 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: b) both assertion and reason are correct but reason is not correct explanation for assertion.
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