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If cos x + cos y + cos alpha = 0 and sin...

If `cos x + cos y + cos alpha = 0` and `sin x + sin y + sin alpha = 0`, then `cot((x+y)/(2))` =

A

sin `alpha`

B

cos `alpha`

C

tan `alpha`

D

cot `alpha`

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The correct Answer is:
d
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