AB and AC are two equal chords of a circle.

Question:

AB and AC are two equal chords of a circle. Prove that the bisector of the angle BAC passes through the centre of the circle.

Solution:

Given AS and AC are two equal chords whose centre is O.

To prove Centre O lies on the bisector of ∠BAC.

Construction Join SC, draw bisector AD of ∠BAC.

Proof In ΔSAM and ΔCAM,

AS = AC [given]

∠BAM = ∠CAM [given]

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now