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Mathematics
Mathematics
Problem
In a circle with centre
O
O
O
, chords
A
B
AB
A
B
and
C
D
CD
C
D
subtend central angles
∠
A
O
B
=
(
3
x
+
5
)
∘
\angle AOB=(3x+5)^{\circ}
∠
A
O
B
=
(
3
x
+
5
)
∘
and
∠
C
O
D
=
(
5
x
−
25
)
∘
\angle COD=(5x-25)^{\circ}
∠
C
O
D
=
(
5
x
−
25
)
∘
respectively. If
∠
C
O
D
\angle COD
∠
C
O
D
is
40
∘
40^{\circ}
4
0
∘
greater than
∠
A
O
B
\angle AOB
∠
A
O
B
, which chord is longer? a)
A
B
AB
A
B
b) Both chords are equal c)
C
D
CD
C
D
d) Data insufficient
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