Question

From the diagram given below, if O is the centre of the circle and OL is perpendicular to chord AB, then which of the following is true?

(a) AL > LB

(b) AL < LB

(c) AL ≠ LB

(d) AL = LB

The question was asked during a job interview.

This interesting question is from Angle Subtended by a Chord at a Point topic in chapter Circles of Mathematics – Class 9

Answer 1

Correct answer is (d) AL = LB

To explain: According to theorem 10.2, perpendicular from the centre of a circle to a chord bisects the chord.

Therefore, AL = LB.