Question

If the angles subtended by two chords at the center are equal, then the lengths of the chords are unequal.

• A. True
• B. False

Answer 1

The correct option is B

False

Let us consider two chords AB and MN in the circle. It is given that the angle subtended by these chords at the centre is $x^{\circ }$.

Let us join the ends of the chords to the centre O.

Now, consider the $\Delta$ABO and $\Delta$MNO,

Then, OA = MO = radius of the circle

OB = ON = radius of the circle

And, $\angle$AOB = $\angle$MON = $x^{\circ }$

Therefore by SAS criterion,

AB = MN