Question

A perpendicular is dropped from the center of a circle to one of its chords. Find the ratio by which the perpendicular divides the chord.

• A. $2:1$
• B. $4:1$
• C. $1:1$
• D. $1:3$

Answer 1

The correct option is C $1:1$

The given situation is depicted in the following figure:


We know that the line perpendicular to a chord from the center of the circle bisects the chord.

Hence, PQ bisects the chord ZY in $1:1$ ratio.