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Chord of a circle subtends at point and at point on the circumference
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
Chord
A
B
AB
A
B
of a circle subtends
∠
A
C
B
\angle ACB
∠
A
C
B
at point
C
C
C
and
∠
A
D
B
\angle ADB
∠
A
D
B
at point
D
D
D
on the circumference, where
C
C
C
and
D
D
D
lie on the same side of
A
B
AB
A
B
. Which of the following is always true? (a)
∠
A
C
B
+
∠
A
D
B
=
180
∘
\angle ACB + \angle ADB = 180^\circ
∠
A
C
B
+
∠
A
D
B
=
18
0
∘
(b)
∠
A
C
B
=
∠
A
D
B
\angle ACB = \angle ADB
∠
A
C
B
=
∠
A
D
B
(c)
∠
A
C
B
=
2
∠
A
D
B
\angle ACB = 2\angle ADB
∠
A
C
B
=
2∠
A
D
B
(d)
∠
A
C
B
=
90
∘
\angle ACB = 90^\circ
∠
A
C
B
=
9
0
∘
Related theory
Circles
Circle angle properties
Angle subtended by a chord
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