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Line passes through the centre of a circle and meets chord at point
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
Line
ℓ
\ell
ℓ
passes through the centre
O
O
O
of a circle and meets chord
C
D
CD
C
D
at point
M
M
M
. Which one of the following conditions is sufficient to conclude that
ℓ
\ell
ℓ
is perpendicular to
C
D
CD
C
D
? (a)
∠
C
M
D
=
90
∘
\angle CMD = 90^{\circ}
∠
C
M
D
=
9
0
∘
(b)
O
M
=
O
C
OM = OC
O
M
=
O
C
(c)
C
M
=
M
D
CM = MD
C
M
=
M
D
(d)
O
M
=
M
D
OM = MD
O
M
=
M
D
Related theory
Chord Properties
Circles
Perpendicular from centre to a chord
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