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If in triangle ABC, a^2+2bc-(b^2+c^2)= a...

If in triangle ABC, `a^2+2bc-(b^2+c^2)= ab sin (C/2) cos( C/2)` , then cot (B+C) =

A

`-8/(15)`

B

`1/4`

C

`-(15)/8`

D

4

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The correct Answer is:
C
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