NCERT Mathematics Class 10 Exemplar Ch 9 Circles Part 2
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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

At is a Tangent to the Circle with Centre O
(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

If O is the Centre of a Circle, PQ is a Chord
(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

At is a Tangent to the Circle with Centre O
(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

PQR is the Tangent to a Circle at Q Whose Centre is O
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