Given two equal chords AB and CD of a circle, with centre O, intersecting each other at point p prove that

BP=DP

In the figure, two equal chords AB and CD of a circle with centre O, intersect each other at E, Prove that AD=CB

Two equal chord AB and CD of a circle with centre O, intersect each other at point P inside the circle. Prove that: BP = DP

If chords AB and CD of a circle intersect each other at a point inside the circle, prove that : PA xx PB = PC xx PD .

In the adjoining figure. If two equal chords AB and CD of a circle intersect each other at E. then prove that chords AC and DB are equal.

AB and CD are two equal chords of a circle with centre O which intersect each other at right angle at point P. If OM bot AB and ON bot CD, show that OMPN is a square.

AB and CD are two equal chords of a circle with centre O which intersect each other at right angle at P. If OM bot AB and ON bot CD, show that OMPN is a square.

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PB = PD

The equal chords AB and CD of circle with centre O, when produced, meet at P outside the circle. Prove that : PA = PC.

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

In Figure two chords AB and CD of a circle intersect each other at the point P (when produced) outside the circle. Prove that (i) DeltaP A C~ DeltaP D B (ii) P A * P B = P C * P D