In the given figure, CD is a direct common tangent to two circles intersecting each other at A and B. Then,

(vii) In the given figure, A, B and C are three points on a circle. The tangent at C meetsBA produced at T. The measure of the angle subtended by AB at the centre is:(a) 480(b) 840(c) 960(d) 1320480360BTCA

The maximum number of common tangents that can be drawn to two given circles is

In given figure, ACB is a right-angled triangle. CD is a altitude. Circles are inscribed within the triangles ACD and BCD. P and Q are the centres of the circles. Find the distance PQ.

In the given figure, equilateral ΔABD and ΔACE are drawn on the sides of a ΔABC. Prove that CD = BE.

Consider the circle x2 + y2 – 8x + 2y – 8 = 0. Let C be the center of the circle. Also, the tangents to this circle at A(1, –5) and B(8, –4) meet at P. Let S = 0 represent the family of circles passing through A and B, then