# Circles – Class 10/MCQ

**CBSE CLASS 10 MATHEMATICSCircles – Chapter 10/MCQ**

- From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. Then the radius of the circle is ———-

A. 7 cm

B. 12 cm

C. 15 cm - If TP and TQ are the two tangents to a circle with centre O so that

<POQ =110 then <PTQ is equal to —————-

A. 270

B. 120

C. 70 - The tangents drawn at the ends of a diameter of a circle are ————–

A. Equal

B. Parallel

C. Perpendicular - The perpendicular at the point of contact to the tangent to a circle passes through the —————

A. centre

B. chord

C. radius - The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is ————

A. 9 cm

B. 6 cm

C. 3cm - If the angle between two radii of a circle is 110, then the angle between the tangents at the ends of the radii is ————–

A. 60

B. 70

C. 80 - The length of tangents drawn from an external point to the circle are ——-

A. Equal

B. Different

C. None of these. - How many tangents can draw at a point of a circle?

A. One

B. Two

C. Three - AP and BP are tangents to a circle with centre O, such that AP = PB = 5cm and <APB = 60, then the length of the chord AB is ————-

A. 4 cm

B. 5cm

C. 6 cm - A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 13cm, length of PQ is ———-

A. 12 cm

B.13cm

C. 8.5 cm

ANSWERS:

- 7 cm
- 70
- Parallel
- Centre
- 3 cm
- 70
- Equal
- One
- 5 cm
- 12 cm