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Chords and of a circle with centre are equal and intersect at point inside the circle
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
Chords
A
B
AB
A
B
and
C
D
CD
C
D
of a circle with centre
O
O
O
are equal and intersect at point
P
P
P
inside the circle. Given that
O
P
OP
O
P
is perpendicular to
A
B
AB
A
B
, prove that
O
P
OP
O
P
is also perpendicular to
C
D
CD
C
D
.
Related theory
Circles
Chord Properties
Perpendicular from centre to a chord
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