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In a circle with centre
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
, chord
A
B
AB
A
B
is longer than chord
C
D
CD
C
D
. The perpendiculars from
O
O
O
to
A
B
AB
A
B
and
C
D
CD
C
D
meet the chords at
M
M
M
and
N
N
N
respectively. Prove that
O
M
<
O
N
OM < ON
O
M
<
O
N
.
Related theory
Chord Properties
Circles
Perpendicular from centre to a chord
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