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 ………….

If two tangents are drawn from an external point then ∠AOP = _____.

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.

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

Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

BC, AB and AC are tangents to the circle at D, E and F respectively. ∠EBD = x^∘, ∠FCD = y^∘. Then ∠EDF equals __\__.

In the given figure, BDC is a tangent to the given circle at point D such that BD = 30 cm and CD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to the circle and meet when produced at A making BAC a right-angled triangle. Find the radius of the circle.