NCERT MCQ ON CIRCLES

1.   In the figure, if O is the centre of a circle, then the measure of ∠ACB is:   

    (i) 80°(ii) 100°(iii) 40°(iv) 60°

Answer- (iii) 40°

2.   The angle subtended by the diameter of a semicircle is:     

  (i) 45°(ii) 180°(iii) 90°(iv) 60°

Answer- (iii) 90°

3.   In the figure, if O is the Centre of the circle, then the measure of x is:   

    (i) 40°(ii) 80°(iii) 50°(iv) 110°

Answer- (iii) 50°

4.   In the figure, if O is the centre of the circle, then what is the measure of ∠ADC?       

(i) 45°(ii) 60°(iii) 90°(iv) 110°

Answer- (i) 45°

5.   In the figure, O is the centre of the circle. What is the measure of ∠AOC?     

  (i) 120°(ii) 136°(iii) 128°(iv) 158°

Answer- (iv) 158°

6.   In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?       

(i) 60°(ii) 110°(iii) 75°(iv) 45°

Answer- (iv) 45°

7.   In the figure, O is the centre of the circle. What is the measure of ∠ACB?     

  (i) 45°(ii) 60°(iii) 70°(iv) 90°

Answer- (ii) 60°

8.   In the figure, O is the centre of the circle. What is the value of x?     

  (i) 125°(ii) 105°(iii) 95°(iv) 85°

Answer- (ii) 105°

9.   In the figure, O is the centre of the circle. If ∠ADC = 140°, then what is the value of x?     

  (i) 45°(ii) 55°(iii) 60°(iv) 45°

Answer- (iv) 45°

10.   If ∠A and ∠C are in the ratio 3 : 2, then we have:          ∠A = ? and ∠B = ?   

  (i) 108°, 75°(ii) 120°, 60°(iii) 105°, 75°(iv) 125°, 55°

Answer- (i) 108°, 75°

11.If there are two separate circles drawn apart from each other, then the maximum number of common points they have:
(i) 0
(ii) 1
(iii) 2
(iv) 3

Answer: (i) 0

12.D is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is
(i) 6 cm
(ii) 8 cm
(iii) 5 cm
(iv) 7 cm

Answer: (iv) 7 cm

13.In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, if ∠BDC=80°, then ∠BEC =
(i) 80°
(ii) 20°
(iii) 160°
(iv) 40°

Answer: (i) 80°

14.The center of the circle lies in______ of the circle.
(i) Interior
(ii) Exterior
(iii) Circumference
(iv) None of the above

Answer: (i) Interior

15.If chords AB and CD of congruent circles subtend equal angles at their centers, then:
(i) AB = CD
(ii) AB > CD
(iii) AB < AD
(iv) None of the above

Answer: (i) AB = CD

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