Welcome to your Class 10 Maths MCQs for Circles

1.
[Circles]

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

2.
[Circles]

A tangent intersects the circle at:

3.
[Circles]

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

4.
[Circles]

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

5.
[Circles]

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

6.
[Circles]

A circle has a number of tangents equal to

7.
[Circles]

In the following figure, AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to

8.
[Circles]

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

9.
[Circles]

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:

10.
[Circles]

If angle between two tangents drawn from a point P to a circle of radius ‘a’and centre ‘O’ is 90°, then OP =

11.
[Circles]

In the following figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a

12.
[Circles]

In the following figure, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to

13.
[Circles]

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

14.
[Circles]

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

15.
[Circles]

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: