Ncert solutions mathematics class 10 Solutions for Chapter 10 circles

Exercises in Chapter 10 circles Grade 10

Circles - Exercise 10.1

Circles - Exercise 10.2

Questions in Circles - Exercise 10.1

A circle can have …………… parallel tangents at the most.

Check if the given circle has two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

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 = 12 cm. Length PQ is :

How many tangents can a circle have?

The common point of a tangent to a circle and the circle is called point of

A tangent to a circle intersects it in …………… point(s).

A line intersecting a circle in two points is called a ………….

Questions in Circles - Exercise 10.2

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠POA is equal to

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. The radius of the circle is

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

In Fig., XY and X′Y′ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X′Y′ at B. Find the value of ∠AOB.

A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively (see Fig). Find the sides AB and AC.