Theorem:-4(iii) If two equal chords are drawn from a point on the circle; then the centre of a circle will lie on angle bisector of these two chords .

Two chord AB and AC of a circle are equal. Prove that the centre of a circle lies on the angle bisector of /_BAC

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

The perpendicular from the centre of a circle to a chord bisects the chord.

The perpendicular from the centre of a circle to a chord bisects the chord.

Theorem 10.3 : The perpendicular from the centre of a circle to a chord bisects the chord.

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

If the two equal chords of a circle intersect : (i) inside (ii) on (iii) outside the circle, then show that the line segment joining the point of intersection to the centre of the circle will bisect the angle between the chords.

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