One of the most important and exam oriented question from Chapter name- circles

Topic – Angle properties of circles

Chapter number- 15

In this question we have a figure (i)t In which it is given that two circles intersect at A, B.

From a point P on one of these circles, two line segments PAC and PBD are drawn, intersecting the other circle at C and D respectively.

Now using the given information we have to prove that CD is parallel to the tangent at P.

ICSE Avichal publication

Understanding ICSE Mathematics

Question 38(a)

Solution:Given: Two circles intersect each other at A and B.

From a point P on one circle, PAC and PBD are drawn.

From P, PT is a tangent drawn. CD is joined.