CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm, and BC = 7 cm, then the length of BR is

Determine the length of a tangent to a circle with radius 5cm, drawn from a point at distance 13cm from the centre of the circle.

Two circles touch externally at a point P. From a point T on a common tangent PT, tangent segments TA and TB are drawn to the two circles. Then TA =

If P is a point outside the circle, then the number of tangents from P to the circle is

________ is a line segment joining any two points on a circle.

Quadrilateral ABCD is drawn such that all its sides touch the circle. If AB = 6 cm, BC = 7 cm and CD = 4 cm, find AD.

In two concentric circles, a chord of the larger circle touches the smaller circle. If the length of this chord is 8 cm and diameter of the smaller circle is 6cm, then find the diameter of the larger circle.

When a point P lies on a circle, then number of tangents to the circle through P is

The length of the diagonal of a rectangle is 10 cm. The area of its circumscribed circle is 

The length of the diagonal of a rectangle is 10 cm. The area of its circumscribed circle is