Question

Chap:2 A (16/30) 15. Prove that two circles which intersect each other have no two distinct common chord.​

Answer 1

Answer:

Let two circles O and O' intersect at two points A and B so that AB is the common chord of two circles and OO' is the line segment joining the centres

Let OO

′

intersect AB at M

Now Draw line segments OA,OB,O

′

AandO

′

B

In ΔOAO

′

andOBO

′

, we have

OA=OB (radii of same circle)