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

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

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

A tangent to a circle intersects it ____ points.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to correspondig segments of the other chord.

If two lines intersect each other, then prove that the vertically opposite angles are equal.

If a line is drawn through the centre of a circle to bisect a chord, then prove that it is perpendicular to the chord.

Two circles intersect at two points A and B AD and AC are diameters to the two circles Prove that B lies on the line segment DC.

Two circles intersect at two points B and c. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see the given figure). Prove that angle ACP = angle QCD.