Monthly Archives: May 2023

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 radius of the top and bottom of a bucket of slant height 35 cm are 25 cm and 8 cm. The curved surface of the bucket is 3630 sq.cm.

Reason: Curved surface of bucket = π(R1 + R2) x slant height (l)

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

b) Both Assertion and Reason are false 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 we join two hemispheres of same radius along their bases, then we get a sphere.

Reason: A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30 cm. The total surface area of the tank is 3.3 m

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

b) Both Assertion and Reason are false 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

3.) Assertion: Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 10a^2

reason: The total surface area of a cube having side a = 6a2

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

b) Both Assertion and Reason are false 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: Number of spherical ball that can be made out of a solid cube lead whose edge is 44cm each ball being 4 cm in diameter is 2541

Reason: Number of balls = ( volume of one ball )/( volume of lead)

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

b) Both Assertion and Reason are false 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.

5.) Assertion: The volume of two sphere are in the ratio 27: 8 then yes surface area in the ratio 3:2 .

Reason: Volume of sphere=4/3 pie r^3 and it’s surface area 4 pie r^4

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

b) Both Assertion and Reason are false 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.

6.) Assertion: The number of solid sphere of diameter  6 cm can be made by a melting a solid metallic  cylinder of height 45 cm and diameter 4 cm is 5 .

Reason: if three solid metallic spherical  balls of radius 3,4,5 cm are melted into single spherical ball then its radius is 6 cm.

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

b) Both Assertion and Reason are false 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 correct explanation for assertion.

7.) Assertion: if three cubes of Iron whose edges are 3cm,4cm, and 5cm are melted and formed into a single cube then the edge of single cube is 6 cm.

Reason:  12 solid spheres of same size  are made by melting  a solid metallic cone of base radius 1 cm and height of 48cm then the radius of each sphere is 2 cm.

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

b) Both Assertion and Reason are false 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.

8.) Assertion: If a solid sphere of radius r is melted snd recast into the shape of right circular cylinder  of radius 0.5 cm then the height of cylinder is 8 cm.

Reason: if a metallic sphere of total volume n is melted and recast into the shape of right circular cylinder of radius 0.5 cm then the height of cylinder is 8 cm .

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

b) Both Assertion and Reason are false 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.

9.) Assertion: Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. 550cm^2 would be the area of chart paper required by her, if she wantedto make a kaleidoscope of length 25 cm with a 3.5 cm radius.

Reason: Area of chart paper required = curved surface area of the kaleidoscope= 2πrh

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

b) Both Assertion and Reason are false 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.

10.) Assertion: if we have a cuboid whose length, breadth and height are 15 cm,10 cm and 20 cm respectively, then its surface area would be 1300 cm^2.

Reason: surface area of cuboid = 2(lb+bh+lh)

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

b) Both Assertion and Reason are false 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.

11.) Assertion: The curved surface area of a right circular cone whose slant height

is 10 cm and base radius is 7 cm.

Reason: Curved surface area = pie *r*l

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

b) Both Assertion and Reason are false 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.

12.)Assertion: The height of a cone is 16 cm and its base radius is 12 cm.  The

curved surface area and the total surface area of the cone is 753.6cm^2,1205.76cm^2

Reason: Curved surface area of cone = 2*pie*r*l and total surface area of cone = pie*r*l+pie *r^3

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

b) Both Assertion and Reason are false 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.

13.) Assertion: : A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3 the mass of the shot-put 3.85 kg.

Reason:  volume of the sphere = (4/3)πr^3

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

b) Both Assertion and Reason are false 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.

14.) Assertion: The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm(in sq. cm) is2310 cm^2.

Reason: Lateral surface area = πrl^2.

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

b) Both Assertion and Reason are false 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.

15.) Assertion:  A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, 463.39cm^2 is the area of cloth required.

Reason: Surface area of hemisphere = 2πr^2

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

b) Both Assertion and Reason are false 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: Radius 6cm, height 7cm then the volume of right circular cone is 264cm^3.

Reason: Volume of a right circular cone = 1/3 πr^2h

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

b) Both Assertion and Reason are false 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: The height of a cone is 15 cm. If its volume is 500π cm3, then 10 cm the radius of its base.

Reason: volume of hemisphere = 2/3*pier^3

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

b) Both Assertion and Reason are false 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.

18.) Assertion: Total Surface area of the top is the sum of the curved surface area of the hemisphere and the curved surface area of the
cone.

Reason: Top is obtained by fixing the plane surfaces of the hemisphere and cone together.

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

b) Both Assertion and Reason are false 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 (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

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

Q.1. Assertion (A): In a circle of radius 6 cm, the angle of a sector is 60°. Then the area of the sector is 132/7 cm².
Reason (R): Area of the circle with radius r is πr².

Answer: (b)

Q.2. Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R): Circumference = 2π × radius.

Answer: (a)

Q.3. Assertion (A): If the outer and inner diameter of a circular path is 10 m and 6 m respectively, then area of the path is 16πm².
Reason (R): If R and r be the radius of outer and inner circular path respectively, then area of circular path = π(R² – r²).

Answer: (a)

Q.4. Assertion (A): The length of the minute hand of a clock is 7 cm. Then the area swept by the minute hand in 5 minute is 77/6 cm².
Reason (R): The length of an arc of a sector of angle q and radius r is given by

Answer: (b)

5) Assertion (A): In the figure, C1 and C2are two circles with radii 7 cm and 5 cm respectively, then area of shaded portion is 24πcm2 .              

Reason (R): When two circles touch internally, the distance between their centres is equal to sum of their radii.

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

Correct Answer: C

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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: a, b and c are the lengths of three sides of a triangle, then a+b > c

Reason: The sum of two sides of a triangle is always 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.

2) Assertion: The side lengths 4cm, 4cm and 4cm can be sides of equilateral triangle

Reason: : Equilateral triangle has all its three sides 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.

3) Assertion: To construct an angle of 60 degrees, we need to draw first a ray

Reason: To construct an angle of 60 degrees we need to start at the initial point of a ray.

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.

4) Assertion: The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when the difference of BC and AC is equal to 4.5

Reason: the difference of any two sides of a triangle cannot be 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.

5) Assertion: The side length of 2 cm, 3 cm, and 4 cm can be the sides of Scalene triangle

Reason: the sides of a scalene triangle, as all the sides have different measurements.

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) Assertion: The internal and external bisectors of an angle forms a right angle

Reason: the bisector always divides an angle in two equal parts.

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

7) Assertion: bisector of angle divide the angle in two equal parts.

Reason: Every angle has an angle bisector.

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 the Assertion

8) Assertion: All the points of angle bisector are equidistant from both the arms of the angle

Reason: An angle bisector can be drawn to any angle, such as acute, obtuse, or 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 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 the Assertion

9) Assertion: The perpendicular bisector of the line is Perpendicular to the line

Reason: Perpendicular bisector passes through the midpoint of a line segment.

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 the Assertion

10) Assertion: The starting point of the ray is called vertex

Reason: A ray does not have a height or width

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 the Assertion

11) Assertion: When two lines crosses each other at a common point then this lines are called intersecting line.

Reason: Intersecting lines meet at a single point, they can meet at more than one 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 true but reason is false

d both Assertion and reason are false

Ans: c) Assertion is true but reason is false

12) Assertion: Intersecting lines meet at a single point, they cannot meet at more than one point.

Reason: When two lines crosses each other at a common point then this lines are called intersecting 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 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

13) Assertion: When two straight lines intersect each other at a right angle in a common point then that lines are called as perpendicular line

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

14) Assertion: The lines which do not intersect each other and can be extended to infinity in a plane then this lines are called as parallel lines.

Reason: The parallel lines meet at the point of infinity.

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

15) Assertion: The lines which are not parallel and also does not intersect are called as skew line.

Reason: Lines that are non-intersecting, non-parallel, and non-coplanar are skew 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 true but reason is false

d) both Assertion and reason are false

Ans: b)

    

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: AB and CD are two parallel chords of a circle whose diameter is AC. Then AB ≠ CD.

Reason : Perpendicular from the centre of a circle does not bisects the chord.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: d) both assertion and reason are false

2.) Assertion: Angles in the same segment of a circle are equal.

Reason: In cyclic quadrilateral, opposite angles are supplementary.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

3 ) Assertion: Perpendicular bisectors of two chords of a circle intersect at its centre.

Reason: : A line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

4) Assertion: If a sector of a circle of diameter 21 cm subtends an angle of 120° at the centre, then its area is 85.5cm^2

Reason:. In a circle of radius 21 cm, an arc substends an angle

of 60° the centre the length of the arc is 22 cm.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

5) Assertion: Area of a segment of a circle is less than the area of its corresponding sector.

Reason: The area of the circle inscribed in a square of side a cm, πa^2 cm^2.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

Ans: d) both assertion and reason are false.

6) Assertion: Perimeter of a semi circle , (πr+d) units.

Reason: Area of circle is πr^2

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

7) Assertion: If the circumference of a circle is 88 cm, then its radius is 14 cm.

Reason: 2π r is circumference of a circle.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

8) Assertion: measure of an semicircle of an angle is 90°

Reason: Concentric circles are circles having same centre.

a)both Assertion and Reason are correct  and Reason is the correct explanation of Assertion.

(b) Assertion and Reason both are correct  but Reason is not the correct explanation of Assertion.

(c) Assertion is correct  but Reason is false

(d)  both assertion and reason are wrong.

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

9) Assertion: If length of a tangent from an external point to a circle is 8 cm, then length of the other tangent from
the same point is 8 cm.
Reason: length of the tangents drawn from an external point to a circle are equal.

Answer: (a)

10) Assertion: If in a cyclic quadrilateral, one angle is 40°, then the opposite angle is 140°
Reason: Sum of opposite angles in a cyclic quadrilateral is equal to 360°

Answer: (c)

    

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 angle of elevation of an object viewed, is the angle formed by the line of sight with the horizontal when it is above the horizontal level.

reason: The angle of depression. of an object viewed, is the angle formed by the line of sight with the horizontal when it is below the horizontal level.

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 and reason is correct explanation for assertion.

2) Assertion: The line of sight  is the line drawn from the eye of an observer to the point in the object viewed by the observer.

 reason: trigonometric ratios are used to find height or length of an object or distance between two distant

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 and reason is correct explanation for assertion.

3) Assertion: If the length of shadow of a vertical pole is  equal to its height, then the angle of elevation of the  sun is 45°

Reason : According to pythagoras theorem, h^2=l^2+b^2 , where h = hypotenuse, l = length and b = 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 but 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.

4)Assertion: If the length of shadow of a vertical pole is equal to its height, then the angle of elevation of the sun is 45°.
Reason: According to Pythagoras theorem, h² = l² + b², where h = hypotenuse, l = length and b = base

Answer: (b)

5) Assertion: In the figure, if BC = 20 m, then height AB is 11.56 m.

Reason: tanθ = AB/BC = perpendicular/base, where θ is the angle ∠ACB

Answer: (a)

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