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Which one of the following statements is ALWAYS correct for a circle with centre ?
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
Which one of the following statements is ALWAYS correct for a circle with centre
O
O
O
? (a) If
A
B
>
C
D
AB > CD
A
B
>
C
D
, then
∠
A
O
B
=
∠
C
O
D
\angle AOB = \angle COD
∠
A
O
B
=
∠
C
O
D
. (b) If
∠
A
O
B
=
∠
C
O
D
\angle AOB = \angle COD
∠
A
O
B
=
∠
C
O
D
, then
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
. (c) If
A
B
=
C
D
AB = CD
A
B
=
C
D
, then
∠
A
O
B
=
∠
C
O
D
\angle AOB = \angle COD
∠
A
O
B
=
∠
C
O
D
. (d) If
A
B
=
C
D
AB = CD
A
B
=
C
D
, then
∠
A
O
B
=
2
∠
C
O
D
\angle AOB = 2\,\angle COD
∠
A
O
B
=
2
∠
C
O
D
.
Related theory
Chord Properties
Circles
Equal chords and their distances
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