Chord of a circle subtends equal angles at points and on the circumference

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

Problem

Chord

KL

of a circle subtends equal angles at points

M

and

N

on the circumference. What can be concluded about the positions of

M

and

N

with respect to chord

KL

? (a)

M

and

N

lie on the perpendicular bisector of

KL

. (b)

M

and

N

lie in the same segment determined by

KL

. (c)

M

and

N

lie in different segments separated by

KL

. (d)

KL

must be the diameter of the circle.