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Mathematics
Mathematics
Problem
In a circle, three chords
M
N
,
N
P
MN,\;NP
M
N
,
N
P
and
P
Q
PQ
P
Q
subtend central angles of
65
∘
,
85
∘
65^{\circ},\;85^{\circ}
6
5
∘
,
8
5
∘
and
75
∘
75^{\circ}
7
5
∘
respectively. Which of the following lists these chords from longest to shortest? a)
M
N
>
N
P
>
P
Q
MN>NP>PQ
M
N
>
N
P
>
P
Q
b)
N
P
>
M
N
>
P
Q
NP>MN>PQ
N
P
>
M
N
>
P
Q
c)
N
P
>
P
Q
>
M
N
NP>PQ>MN
N
P
>
P
Q
>
M
N
d)
P
Q
>
N
P
>
M
N
PQ>NP>MN
P
Q
>
N
P
>
M
N
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