A circle is inscribed in a ΔABC having AB = 10 cm, BC = 12 cm, and CA = 8 cm and touching the sides at D, E, F respectively. Find AD, BE, CF.

If AB, AC, PQ are tangent as in figure and AB = 5 cm, find the perimeter of ΔAPQ

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

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

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

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 =

From a point P, the length of the tangent to a circle is 15cm and distance of P from the centre of the circle is 17cm. Then the radius of  the circle is

Which of the following is a line that intersects the circle in exactly one point.

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.

If two concentric circles have radii 5cm and 3cm then the length of the chord of the larger circle which touches the

other circle is