**CBSE Class 9 Maths – MCQ and Online Tests – Unit 10 – Circles**

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**CBSE Class 9 Maths – MCQ and Online Tests – Unit 10 – Circles**

Question 1.

In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If ?ACD = 25°, then ?AOD =

(a) 50°

(b) 75°

(c) 90°

(d) 100°

## Answer

Answer: (b) 75°

Question 2.

In the given figure, O is the centre of a circle and ?AOC = 120°. Then, ?BDC =

(a) 60°

(b) 45°

(c) 30°

(d) 15°

## Answer

Answer: (c) 30°

Question 3.

AB and CD are two equal chords of a circle with centre O such that ?AOB = 80°, then ?COD =

(a) 100°

(b) 80°

(c) 120°

(d) 40°

## Answer

Answer: (b) 80°

Question 4.

In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD and AB = 10 cm, then CD =

(a) 5 cm

(b) 12.5 cm

(c) 15 cm

(d) 10 cm

## Answer

Answer: (d) 10 cm

Question 5.

The radius of a circle is 13 cm and the length of one of its chords is 10 cm. The distance of the chord from the centre is

(a) 11.5 cm

(b) 12 cm

(c) \(\sqrt{69}\) cm

(d) 23 cm

## Answer

Answer: (b) 12 cm

Question 6.

A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

(a) 25 cm

(b) 12.5 cm

(c) 30 cm

(d) 9 cm

## Answer

Answer: (c) 30 cm

Question 7.

In the given figure, AB is a chord of a circle with centre O and BOC is a diameter. If OD ? AB such that OD = 6 cm, then AC =

(a) 9 cm

(b) 12 cm

(c) 15 cm

(d) 7.5 cm

## Answer

Answer: (b) 12 cm

Question 8.

In the given figure, O is the centre of a circle. If ?AOB = =100° and ?AOC = 90°, then ?BAC =

(a) 85°

(b) 80°

(c) 90°

(d) 75°

## Answer

Answer: (a) 85°

Question 9.

In figure, O is the centre of a circle and ?AOB = 140°, then ?ACB =

(a) 70°

(b) 80°

(c) 110°

(d) 40°

## Answer

Answer: (c) 110°

Question 10.

In figure, O is the centre of a circle and ?AOB = 130°, then ?ACB =

(a) 50°

(b) 65°

(c) 115°

(d) 155°

## Answer

Answer: (c) 115°

Question 11.

In the given figure, O is the centre of a circle in which ?OAB = 20° and ?OCB = 50°. Then, ?AOC =

(a) 50°

(b) 70°

(c) 20°

(d) 60°

## Answer

Answer: (d) 60°

Question 12.

In the given figure, O is the centre of a circle in which ?AOC = 100° side AB of quadrilateral OABC has been produced to D. Then, ?CBD =

(?) 50°

(b) 40°

(c) 25°

(d) 80°

## Answer

Answer: (?) 50°

Question 13.

In the given figure, BOC is a diameter of a circle and AB = AC. Then, ?ABC =

(a) 30°

(b) 45°

(c) 60°

(d) 90°

## Answer

Answer: (b) 45°

Question 14.

In the given figure, O is the centre of a circle. If ?OAB = 40° and C is a point on the circle, then ?ACB =

(a) 40°

(b) 50°

(c) 80°

(d) 100°

## Answer

Answer: (b) 50°

Question 15.

In the given figure, O is the centre of a circle and ?OAB = 50°. Then, ?BOD =

(?) 130°

(b) 50°

(c) 100°

(d) 80°

## Answer

Answer: (c) 100°

Question 16.

In the given figure, ABCD is the cyclic quadrilateral in which BC = CD and ?CBD = 35°. Then, ?BAD =

(?) 65°

(b) 70°

(c) 110°

(d) 90°

## Answer

Answer: (b) 70°

Question 17.

In figure, ?ABC is an equilateral triangle and ABDC is a quadrilateral then ?BDC =

(?) 90°

(b) 60°

(c) 120°

(d) 150°

## Answer

Answer: (c) 120°

Question 18.

In figure, sides AB and AD of a quadrilateral ABCD are produced to E and F respectively. If ?CBE = 100°, then find ?CDF.

(a) 100°

(b) 80°

(c) 130°

(d) 90°

## Answer

Answer: (b) 80°

Question 19.

An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

(a) 3 cm

(b) 3v2 cm

(c) 3v3 cm

(d) 6 cm

## Answer

Answer: (c) 3v3 cm

Question 20.

In the given figure, ?ABC and ?DBC are inscribed in a circle such that ?BAC = 60° and ?DBC = 50°. then, ?BCD =

(a) 50°

(b) 60°

(c) 70°

(d) 80°

## Answer

Answer: (c) 70°

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