# NCERT Mathematics Class 10 Exemplar Ch 9 Circles Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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6. In Fig. 9.5, AT is a tangent to the circle with centre O such that and . Then AT is equal to

(A)

(B)

(C)

(D)

Answer: C

7. In Fig. 9.6, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠ POQ is equal to

(A) 100°

(B) 80°

(C) 90°

(D) 75°

Answer: A

8. In Fig. 9.7, if PA and PB are tangents to the circle with centre O such that then ∠ OAB is equal to

(A) 25°

(B) 30°

(C) 40°

(D) 50°

Answer: A

9. If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to

(A) (B) (C) (D)

Answer: D

10. In Fig. 9.8, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and , then ∠ AQB is equal to

(A) 20°

(B) 40°

(C) 35°

(D) 45°

Answer: B