MCQ Questions for Class 10 Maths Chapter 10 Circles

Are you preparing for the CBSE class 10th Maths exam? Here we have Chapter 10 Circles MCQs with answers are framed with meticulous research to help students score good marks in the exam. Multiple choice questions have significant weightage in the CBSE exam. Practicing helps students to crack the MCQs with accuracy and efficiency.MCQs assist you to gain in-depth knowledge about the Chapter 10 Circles and elevate the essential concepts to answer any twisted question. To start the exam preparation students should strategize their learning plan. Solve as many MCQ questions as possible to test their learning and emphasize more on the weaker parts from Chapter 10 circles.

Class 10 Maths Chapter 10 Circles MCQs

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

Answer: B

2. 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 cm²

Answer: A

3. 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 cm

Answer: D

4. 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. 3/2√3 cm
B. 6 cm
C. 3 cm
D. 3√3 cm

Answer: D

5. If angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is:

A. 90º
B. 50º
C. 70º
D. 40º

Answer: B

6. The length of tangent from an external point P on a circle with centre O is

A. always greater than OP
B. equal to OP
C. always less than OP
D. information insufficient

Answer: C

7. 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 cm

Answer: D

8. If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, then

A. d22 = c2 + d12
B. d22 = c2 – d12
C. d12 = c2 + d22
D. d12 = c2 – d22

Answer: A

9. If a chord AB subtends an angle of 60° at the centre of a circle, then angle between the tangents at A and B is:

A. 60°
B. 120°
C. 80°
D. 100°

Answer: A

10. 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. 2√3 cm
B. 6√3 cm
C. 3√3 cm
D. 3 cm

Answer: C

11. Number of tangents drawn at a point of the , circle is/are

A. one
B. two
C. none
D. infinite

Answer: A

12. The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm

Answer: C

13. From a point P which is at a distance of 13 cm from the centre 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 cm²

Answer: A

14. A line through point of contact and passing through centre of circle is known as

A. tangent
B. chord
C. normal
D. segment

Answer: C