Line segment subtends equal angles at two distinct points and located on the same side of

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

Line segment

AC

subtends equal angles at two distinct points

B

and

D

located on the same side of

AC

. Which statement must be true? (a)

AC\text{ is the diameter of a circle passing through }B\text{ and }D.

(b) Points

A,\,B,\,C,\,

and

D

are concyclic. (c)

\angle ABC + \angle ADC = 180^{\circ}

. (d)

AB = CD