If two circles intersect at two points, 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 length of the common chord.

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 chord.

Draw two non - parallel chords of the circle .Where do their perpendicular bisectors intersect .

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

Draw a circle of radius 4 cm.Draw any two of its chords.Construct the perpendicular bisectors of these chords.Where do they meet?

Two chords PQ and RS of a circle are parallel to each other and AB is the perpendicular bisector of PQ. Without using any construction, prove that AB bisects RS.

P is a point on either of the two lines y - sqrt3|x|=2 at a distance 5 units from their point of intersection The coordinates of the foot of the perpendicular from P on the bisector of the angle between them are

Fill in the Blanks: The line drawn through the centre of a circle to ______ a chord is perpendicular to the chord.

Draw a circle of any radius.Draw its two chords such that AB is parallel to Cd.Draw the Perpendicular bisector of line segment AB and CD.

Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the angle bisector of angleBAC .