# Class 10 Maths Chapter 10 Circles MCQs

## Class 10 Maths Chapter 10 Circles MCQs

Q1. A circle has a number of tangents equal to

(a) 0

(b) 1

(c) 2

(d) Infinite

Q2. A tangent intersects the circle at:

(a) One point

(b) Two distinct point

(c) At the circle

(d) None of the above

Q3. If the angle between two radii of a circle is 110º, then the angle between the tangents at the ends of the radii is:

(a) 90º

(b) 50º

(c) 70º

(c) 40º

Q4. The length of the tangent from an external point A on a circle with centre O is

(a) always greater than OA

(b) equal to OA

(c) always less than OA

(d) cannot be estimated

Answer: (c) always less than OA

Q5. AB is a chord of the circle and AOC is its diameter such that angle ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to

(a) 65°

(b) 60°

(c) 50°

(d) 40°

Q6. If TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to

(a) 60°

(b) 70°

(c) 80°

(d) 90°

Q7. The length of a tangent from a point A at a distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is:

(a) 3 cm

(b) 5 cm

(c) 7 cm

(d) 10 cm

Q8. If a parallelogram circumscribes a circle, then it is a:

(a) Square

(b) Rectangle

(c) Rhombus

(d) None of the above

Q9. Two concentric circles are of radii 5 cm and 3 cm. The length of the chord of the larger circle which touches the smaller circle is:

(a) 8 cm

(b) 10 cm

(c) 12 cm

(d) 18 cm

Q10. If angle between two radii of a circle is 130°, the angle between the tangents at the ends of the radii is

(a) 90°

(b) 50°

(c) 70°

(d) 40°

Q11.  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) (3/2)√3 cm

(b) 6 cm

(c) 3 cm

(d) 3√3 cm

Q12. The tangent to a circle is ___________ to the radius through the point of contact.

(a) parallel

(b) perpendicular

(c) perpendicular bisector

(d) bisector

Q13. Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. The radius of the inner circle will be

(a) 3 cm

(b) 4 cm

(c) 2.5 cm

(d) 2 cm

Q14. The distance between two parallel tangents of a circle is 18 cm, then the radius of the circle is

(a) 8 cm

(b) 10 cm

(c) 9 cm

(d) 7.5 cm

Q15. The tangent is the special case of the secant when the two end points of its corresponding

a) Chord coincide

b) Chord not coincide

c) Both a and b

d) None

Ans: a) chord coincide

Q16. There is no tangent to a circle passing through a point

a) Lying on the circle

b) Lying inside the circle

c) Lying outside the circle

d) None

Ans: b) lying inside the circle

Q17. There are exactly two tangents to a circle through a point

a) Lying inside the circle

b) Lying outside the circle

c) Lying on the circle

d) None

Ans: b) lying outside the circle

Q18. How many tangents are possible to draw through a point which is lying inside the circle

a) One and only one

b) Exactly two

c) No tangent

d) None

Ans: c) no tangent

Q19. How many tangents are possible to draw to the circle through a point which is lying outside the circle

a) One and only one

b) No tangent

c) Exactly two tangents

d) Infinite

Ans: c) exactly two tangents

Class 10 Maths Chapter 10 Circles MCQs
Scroll to top