CIRCLES Test

A tangent PQ at point of contact P to a circle of radius 12 cm meets the line through centre O to a point Q such that OQ = 20 cm, length of tangent PQ is :

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

In figure, AB is a chord of a circle and AT is a tangent at A such that \(\angle BAT = {60^o}\), measure of \(\angle ACB\) is :

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of \({80^o}\), \(\angle POA\) is

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, such that OQ = 15 cm. Length of PQ is

The length of the tangent drawn from a point, whose distance from the centre of a circle is 17 cm and the radius is 8 cm is :

In the given figure, If TA and TC are two tangents to the circle with centre O, such that \(\angle ATB = {70^o}\), then \(\angle OBA\) is equal to :

In the given figure, PQ is a tangent to the circle with centre O, such that OQ = 6 cm and \(\angle OQP = {30^o}\). Then PQ is equal to :

In the given figure, BOA is a diameter of a circle and the tangent at a point P meets BA extended at T. If \(\angle PBO = {30^o}\), then \(\angle \)PTA is equals to:

In the given figure, PQ is a chord of a circle and PT is the tangent at P such that \(\angle QPT\)\(\angle QPT = {60^o}\), Then \(\angle PRQ\)s equal to :

If radii of two concentric circles are 4 cm and 5 cm, then the length o each chord of one circle which is tangent to the other circle is :

At one end A of a diameter AB of a circle of radius 5 cm, tangent XAYis drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is :

In the given figure, if OQ = 3 cm, OP = 5 m, then the length of PR is

The distance between two parallel tangents of a circle of radius 3 cm is

In the adjoining figure, If OC = 9 cm and OB = 15 cm, then BC + BD is equal to