If two circles intersect in two points; prove that the line through the centres is the perpendicular bisector of the common chord.

Two circles itnersect each other in two points. Prove that the line through their centres is the perpendicular bisector of the common chord.

Theorem:- 3 There is one and only one circle passing through three non collinear points and If two circles intersects in two points; then the line joining the centres is perpendicular bisector of common chords

If two circles intersect at two points,prove that their centres lie on the perpendicular bisector of the common chord.

Two circles of radil 5cm and 3cm intersect at two points and the distance between their centres is 4cm. Find the length of the common chord.

Two circles of radii 5cm and 3cm intersect at two points and the distance between their centres is 4cm .Find the length of the common chord.

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10sqrt3 cm, then what is the diameter of the circle?

If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is

Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is