Class 10 Maths MCQs for Chapter 10 Circles with Answers PDF

Class 10 Maths Chapter 10 MCQs on Circles are available here with solved answers. These questions are made according to the latest CBSE syllabus and NCERT textbook. Practising them can help students prepare better and score well in the board exam. Students can also download a free PDF for extra practice and revision.

MCQs Questions for Class 10 Maths Chapter 10 Circles

Question 1: A tangent to a circle touches the circle at:

Options:

(A). Two points

(B). One point

(C). Three points

(D). No point

Correct Answer: (B). One point

Question 2: The tangent at any point of a circle is perpendicular to the:

Options:

(A). Diameter

(B). Chord

(C). Radius through the point of contact

(D). Circumference

Correct Answer: (C). Radius through the point of contact

Question 3: How many tangents can be drawn from an external point to a circle?

Options:

(A). One

(B). Two

(C). Three

(D). Infinite

Correct Answer: (B). Two

Question 4: The lengths of tangents drawn from an external point to a circle are:

Options:

(A). Unequal

(B). Equal

(C). Zero

(D). Double the radius

Correct Answer: (B). Equal

Question 5: A line intersecting a circle at two distinct points is called:

Options:

(A). Tangent

(B). Radius

(C). Secant

(D). Diameter

Correct Answer: (C). Secant

Question 6: The angle between a tangent and the radius at the point of contact is:

Options:

(A). 30°

(B). 45°

(C). 60°

(D). 90°

Correct Answer: (D). 90°

Question 7: The common point of a tangent and a circle is called:

Options:

(A). Midpoint

(B). Centre

(C). Point of contact

(D). Endpoint

Correct Answer: (C). Point of contact

Question 8: A circle can have how many tangents parallel to a given line?

Options:

(A). One

(B). Two

(C). Three

(D). Infinite

Correct Answer: (B). Two

Question 9: The radius of a circle is 7 cm. The diameter is:

Options:

(A). 7 cm

(B). 10 cm

(C). 12 cm

(D). 14 cm

Correct Answer: (D). 14 cm

Diameter = 2 × Radius = 2 × 7 = 14 cm

Question 10: If two tangents are drawn from an external point P to a circle, then:

Options:

(A). PA = PB

(B). PA > PB

(C). PA < PB

(D). PA = 2PB

Correct Answer: (A). PA = PB

Question 11: A tangent to a circle and the radius through the point of contact are:

Options:

(A). Parallel

(B). Equal

(C). Perpendicular

(D). Intersecting at two points

Correct Answer: (C). Perpendicular

Question 12: The distance between the centre of a circle and a tangent is equal to:

Options:

(A). Diameter

(B). Radius

(C). Circumference

(D). Chord

Correct Answer: (B). Radius

Question 13: A tangent intersects the circle at:

Options:

(A). One point

(B). Two points

(C). Three points

(D). No point

Correct Answer: (A). One point

Question 14: The line joining the centre of a circle to the point of contact is:

Options:

(A). Diameter

(B). Radius

(C). Chord

(D). Tangent

Correct Answer: (B). Radius

Question 15: The number of tangents that can be drawn at a point on the circle is:

Options:

(A). One

(B). Two

(C). Three

(D). Infinite

Correct Answer: (A). One

Question 16: If the radius of a circle is doubled, the diameter becomes:

Options:

(A). Same

(B). Half

(C). Double

(D). Triple

Correct Answer: (C). Double

Question 17: A tangent is a special case of:

Options:

(A). Radius

(B). Diameter

(C). Secant

(D). Chord

Correct Answer: (C). Secant

Question 18: The angle subtended by a diameter in a semicircle is:

Options:

(A). 30°

(B). 45°

(C). 60°

(D). 90°

Correct Answer: (D). 90°

Question 19: Which of the following is always true for tangents drawn from an external point?

Options:

(A). They are unequal

(B). They are parallel

(C). They are equal in length

(D). They pass through the centre

Correct Answer: (C). They are equal in length

Question 20: The shortest distance from the centre of a circle to a tangent is:

Options:

(A). Diameter

(B). Radius

(C). Chord

(D). Circumference

Correct Answer: (B). Radius

Question 21: The tangent and radius of a circle intersect at:

Options:

(A). Centre

(B). Point of contact

(C). Diameter

(D). Chord

Correct Answer: (B). Point of contact

Question 22: A circle has:

Options:

(A). One centre

(B). Two centres

(C). Three centres

(D). Infinite centres

Correct Answer: (A). One centre

Question 23: If the diameter of a circle is 20 cm, then the radius is:

Options:

(A). 5 cm

(B). 10 cm

(C). 15 cm

(D). 20 cm

Correct Answer: (B). 10 cm

Radius = Diameter / 2 = 20 / 2 = 10 cm

Question 24: A chord passing through the centre of a circle is called:

Options:

(A). Tangent

(B). Radius

(C). Diameter

(D). Secant

Correct Answer: (C). Diameter

Question 25: How many points can a tangent and a circle have in common?

Options:

(A). Zero

(B). One

(C). Two

(D). Infinite

Correct Answer: (B). One

Download PDF - MCQs for Class 10 Maths Chapter 10 Circles