Two circles of radii `5\ c m\ a n d\ 3c m` intersect at two points and the distance between their centres is `4c m`. Find the length of the common chord.

Two circles of radii 5\ c m\ a n d\ 3c m intersect at two points and the distance between their centres is 4c mdot Find the length of the common chord.

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

Two circles of radii 10 cm and 17 cm . Intersecting each other at two points and the distances between their centres is 21 cm . Find the length of the common chords.

Two circles of radii 10\ c m\ a n d\ 8\ c m intersect and the length of the common chord is 12 c m . Find the distance between their centres.

Two circles with centres Aa n dB of radii 3c ma n d4c m respectively intersect at two points Ca n dD such that A Ca n dB C are tangents to the two circles. Find the length of the common chord C Ddot

Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of common chord PQ.

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

Two circles with centers O and O' of radii 6cm and 8 cm respectively intersect two points P and Q such that OP and O'P are tangents to the two circle. The length of the common chord PQ is

Two circles touch internally. The sum of their areas is 116pi\ c m^2 and distance between their centres is 6 cm. Find the radii of the circles.

A B\ a n d\ C D are two parallel chords of a circle with centre O such that A B=6\ c m\ a n d\ C D=12\ c mdot The chords are on the same side of the centre and the distance between them is 3 cm. The radius of the circle is (a) 6\ c m (b) 5\ sqrt(2)\ c m (c) 7\ c m (d) 3\ sqrt(5)\ c m