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Mathematics
Mathematics
Problem
Four points
A
,
B
,
C
,
A, B, C,
A
,
B
,
C
,
and
D
D
D
lie on a circle with centre
O
O
O
such that
∠
A
O
B
=
40
∘
\angle AOB = 40^\circ
∠
A
O
B
=
4
0
∘
,
∠
B
O
C
=
60
∘
\angle BOC = 60^\circ
∠
B
O
C
=
6
0
∘
, and
∠
C
O
D
=
40
∘
\angle COD = 40^\circ
∠
C
O
D
=
4
0
∘
. Arrange the chords
A
B
,
B
C
,
AB, BC,
A
B
,
B
C
,
and
C
D
CD
C
D
in increasing order of length. a)
B
C
<
A
B
=
C
D
BC < AB = CD
B
C
<
A
B
=
C
D
b)
A
B
=
C
D
<
B
C
AB = CD < BC
A
B
=
C
D
<
B
C
c)
A
B
=
B
C
=
C
D
AB = BC = CD
A
B
=
B
C
=
C
D
d)
A
B
<
C
D
<
B
C
AB < CD < BC
A
B
<
C
D
<
B
C
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