Question

If 𝐴𝐵 and 𝐴𝐶 are two chords of a circle with centre 𝑂, then can we conclude that ∠𝐴𝑂𝐵 = ∠𝐴𝑂𝐶?

Answer 1

It is given that AB and AC are two chords of a circle with centre O.
Since AB and AC are not equal, the angles subtended by them at the centre may or may not be equal.
Thus, we can’t conclude that the angles subtended by them at the centre will be equal.
Hence, the given statement is false.