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Byju's Answer
Standard XII
Mathematics
Properties of Argument
In Δ ABC, if ...
Question
In
Δ
A
B
C
,
if
b
+
c
=
3
a
then
cot
B
2
cot
C
2
=
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is
B
2
Given:
b
+
c
=
3
a
⇒
a
+
b
+
c
=
4
a
⇒
s
=
2
a
We know,
cot
A
2
=
s
(
s
−
a
)
Δ
⇒
cot
B
2
cot
C
2
=
s
(
s
−
b
)
s
(
s
−
c
)
Δ
2
=
s
s
−
a
=
2
a
a
=
2
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Similar questions
Q.
Statement 1: In a
Δ
A
B
C
, if
b
+
c
=
3
a
, then
cot
B
2
cot
C
2
=
2
Statement 2: In
a
Δ
A
B
C
, if
b
+
c
a
=
m
n
(
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>
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and
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,
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are positive)
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2
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2
=
m
+
n
m
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Q.
In
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A
B
C
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with angles
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,
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and
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If
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If in a
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Properties of Argument
Standard XII Mathematics
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