## CBSE Class 10 Circles MCQ New Pattern By Clarify Knowledge

*CBSE Class 10 Circles MCQ New Pattern 2022*

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## CBSE Class 10 Circles MCQ Table

Question 1.

If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is

(a) 3 cm

(b) 6 cm

(c) 9 cm

(d) 1 cm

Question 2.

In Fig., if ∠AOB = 125°, then ∠COD is equal to

(a) 62.5°

(b) 45°

(c) 35°

(d) 55°Answer

Question 3.

If Fig., AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, the ∠BAT is equal to

(a) 65°

(b) 60°

(c) 50°

(d) 40°Answer

Question 4.

From a point P which is at a distance of 13 cm from the point O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

(a) 60 cm²

(b) 65 cm²

(c) 30 cm²

(d) 32.5 cm²Answer

Question 5.

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is

(a) 4 cm

(b) 5 cm

(c) 6 cm

(d) 8 cmAnswer

Question 6.

In Fig., AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to

(a) 4 cm

(b) 2 cm

(c) 2√3 cm

(d) 4√3 cmAnswer

Question 7.

In Fig., 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

Question 8.

In Fig., if PA and PB are tangents to the circle with centre 0 such that ∠APB = 50°, then ∠AOB is equal to

(a) 25°

(b) 130°

(c) 100°

(d) 50°Answer

Question 9.

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

(a) 32√3 cm

(b) 6 cm

(c) 3 cm

(d) 3√3 cmAnswer

Question 10.

In Fig., if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to

(a) 20°

(b) 40°

(c) 35°

(d) 45°