Kerala Board Solutions for Chapter: Circles, Exercise 2: Exercise 2

Prove that chords of the same length in a circle are at the same distance from the centre.

Two chords intersect at a point on a circle and the diameter through this point bisects the angle between the chords. Prove that the chords have the same length.

In the picture given below, the angles between the radii and the chords are equal. Prove that the chords are of the same length.