Скачать или смотреть Class 10 Maths Exercise 10.2 Chapter 10 NCERT Solutions | Chapter 10 Circles

Class 10 Maths Exercise 10.2 Chapter 10 NCERT Solutions | Chapter 10 Circles

NCERT solutions of class 10 maths ex 10.2

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In Q.1 to 3, choose the correct option and give justification.
1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from
the centre is 25 cm. The radius of the circle is
(A) 7 cm (B) 12 cm
(C) 15 cm (D) 24.5 cm

2. In Fig. 10.11, if TP and TQ are the two tangents
to a circle with centre O so that ∠ POQ = 110°,
then ∠ PTQ is equal to
(A) 60° (B) 70°
(C) 80° (D) 90°

3. If tangents PA and PB from a point P to a circle with centre O are inclined to each other
at angle of 80°, then ∠ POA is equal to
(A) 50° (B) 60°
(C) 70° (D) 80°

4. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

5. Prove that the perpendicular at the point of contact to the tangent to a circle passes
through the centre.

6. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4
cm. Find the radius of the circle.

7. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the
larger circle which touches the smaller circle.

8. A quadrilateral ABCD is drawn to circumscribe a circle (see Fig. 10.12). Prove that
AB + CD = AD + BC

9. In Fig. 10.13, XY and X′Y′ are two parallel tangents to a circle with centre O and
another tangent AB with point of contact C intersecting XY at A and X′Y′ at B. Prove
that ∠ AOB = 90°.

10. Prove that the angle between the two tangents drawn from an external point to a circle
is supplementary to the angle subtended by the line-segment joining the points of
contact at the centre.

11. Prove that the parallelogram circumscribing a circle is a rhombus.

12. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig. 10.14). Find the sides AB and AC.

13. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Queries Solved:
class 10 maths ex 10.2
class 10 maths ex 10.2 q12
class 10 maths ex 10.2 q 5
class 10 maths ex 10.2 q 9
class 10 maths ex 10.2 q 13
class 10 maths ex 10.2 q10
class 10 maths ex 10.2 q 8
class 10 maths ex 10.2 q6
class 10 maths ex 10.2 q4
class 10 maths ex 10.2 q 11
class 10 maths ex 10.2 q3
class 10 maths ex 10.2 q1
class 10 maths ex 10.2 q7
class 10 maths ex 10.2 q2
class 10 maths ex 10.2 question 7


class 10 maths chapter 10 exercise 10.2 question 4
class 10 maths chapter 10 exercise 10.2
class 10 maths chapter 10 exercise 10.2 question 12
class 10 maths chapter 10 exercise 10.2 question 5
class 10 maths chapter 10 introduction
class 10 maths chapter 10 exercise 10.2 question 6
class 10 maths chapter 10 theorem 10.1
class 10 maths chapter 10 exercise 10.2 question 9
class 10 maths chapter 10 example 3
class 10 maths chapter 10 exercise 10.2 question 1
class 10 maths chapter 10 exercise 10.2 question 13
class 10 maths chapter 10 exercise 10.2 question 10
class 10 maths chapter 10 exercise 10.2 question 7

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