MCQs of Circles

MCQ Questions of Circles

1. AD is a diameter of a circle and AB is a chord. If AD=34 cm, AB=30 cm, the distance of AB from the centre of the circle is :

(A) 17 cm
(B) 15 cm
(C) 4 cm
(D) 8 cm

2. In given figure, if OA=5 cm, AB=8 cm and OD is perpendicular to AB, then CD is equal to:

(A) 2 cm
(B) 3 cm

(C) 4 cm
(D) 5 cm

3. If AB=12 cm, BC=16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:

(A) 6 cm
(B) 8 cm

(C) 10 cm
(D) 12 cm

4. In given figure, if ∠ABC=20º, then ∠AOC is equal to:

(A) 20º
(B) 40º
(C) 60º
(D) 10º

5. In given figure, if AOB is a diameter of the circle and AC=BC, then ∠CAB is equal to:

(A) 30º
(B) 60º

(C) 90º
(D) 45º

6. In given figure, if ∠OAB=40º, then ∠ACB is equal to :

(A) 50º
(B) 40º
(C) 60º
(D) 70°

7. In given figure, if ∠DAB=60º, ∠ABD=50º, then ∠ACB is equal to:

(A) 60º
(B) 50º
(C) 70º
(D) 80º

8. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and

∠ADC=140º, then ∠BAC is equal to:

(A) 80º
(B) 50º

(C) 40º
(D) 30º

9. In given figure, BC is a diameter of the circle and ∠BAO=60º. Then ∠ADC is equal to :

(A) 30º
(B) 45º

(C) 60º
(D) 120º

10. In given figure, ∠AOB=90º and ∠ABC=30º, then ∠CAO is equal to:

(A) 30º
(B) 45º
(C) 90º
(D) 60º

11. In given figure, two congruent circles have centres O and O′. Arc AXB subtends an angle of 75º at the centre O and arc A′ Y B′ subtends an angle of 25º at the centre O′. Then the ratio of arcs A X B and A′ Y B′ is:

(A) 2 : 1
(B) 1 : 2
(C) 3 : 1
(D) 1 : 3

12. In given figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD, respectively. If ∠POQ=150º, then ∠APQ is equal to

(A) 30º
(B) 75º

(C) 15º
(D) 60º

ANSWER KEY

1. (D) 

2. (A) 

3. (C) 

4. (B) 

5. (D)

6. (A) 

7. (C) 

8. (B) 

9. (C) 

10. (D)

11. (C)
12. (B)