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Question

In △ABC,2acsin(A−B+C2) is equal to :

A
a2+b2c2
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B
c2+a2b2
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C
b2a2c2
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D
c2a2b2
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Solution

The correct option is B c2+a2b2
In ABC,A+B+C=180o ..... (i)
Consider, 2acsin(AB+C2)
=2acsin(180o2B2) ..... From (i)
=2acsin(90oB)
=2accosB ...... [sin(90x)=cosx]
=a2+c2b2

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