Question

Two chords AB and CB of a circle are at equal distances from the centre of the circle. Then, $△$ABC is an isosceles triangle.

• A. True
• B. False

Answer 1

The correct option is A True

Consider a circle centered at O.
Given, two chords AB and CB of a circle are at equal distances from the centre of the circle.
i.e., In the above figure OM = ON.
We know that the chords of a circle equidistant from the centre of a circle are congruent.
Hence, AB = CB.
$\therefore$ $△$ABC is isosceles.
So, the given statement is true.