Question

if two circles intersect at two points prove that their centres lie in the perpendicular bisector of the common chord

explain properly with figure​

Answer 1

Answer:

A AB is the common chord of the two circles and OO' is the line segment joining the centres of the two circles. Let OO' intersect AB at P. To prove: OO' is the perpendicular bisector of AB. Hence, OO' is the perpendicular bisector of AB.