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Byju's Answer
Standard XII
Mathematics
AM,GM,HM Inequality
In any ABC,...
Question
In any
△
A
B
C
,
∑
a
(
sin
B
−
sin
C
)
=
A
2
s
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B
a
2
+
b
2
+
c
2
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C
0
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D
none of these
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Solution
The correct option is
C
0
∑
a
(
sin
B
−
sin
C
)
=
a
(
sin
B
−
sin
C
)
+
b
(
sin
C
−
sin
A
)
+
c
(
sin
A
−
sin
B
)
=
a
(
b
−
c
)
+
b
(
c
−
a
)
+
c
(
a
−
b
)
2
R
[Using sine law of triangle ]
=
0
2
R
=
0
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0
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△
A
B
C
,
1
r
2
1
+
1
r
2
2
+
1
r
2
3
+
1
r
2
is equal to