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 two chords namely AB, CD and these chords intersect externally at a point P.
It ia given that PA = PC,
Now we have to prove that AB = CD.
ICSE Avichal publication
Understanding ICSE Mathematics
Question 34
Solution:

Given: Two chords AB and CD intersect
each other at P outside the circle. PA = PC.