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Is a chord of a circle with centre
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
A
B
AB
A
B
is a chord of a circle with centre
O
O
O
. Point
M
M
M
on
A
B
AB
A
B
satisfies
A
M
=
M
B
AM = MB
A
M
=
M
B
. Prove that
O
M
OM
O
M
is perpendicular to
A
B
AB
A
B
.
Related theory
Triangle Congruence
Chord Properties
Circles
Perpendicular from centre to a chord
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