In the given figure, is the centre of a circle. and are its two chords. If , and , then
Step 1- Comparing given data
From the given data we conclude that,
Both the chords and are placed at the same distance from the center of the circle .
Step 2- chords equidistant from the center of a circle.
So, applying the theorem of chords equidistant from the center of a circle are equal.
We can conclude that,
The length of will be equal to the length of .
Hence,
Hence, option (D) is the correct answer.