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Let a, b and c be positive real numbers....

Let a, b and c be positive real numbers. Then prove that `tan^(-1) sqrt((a(a + b + c))/(bc)) + tan^(-1) sqrt((b (a + b + c))/(ca)) + tan^(-1) sqrt((c(a + b+ c))/(ab)) = pi`

A

`pi//4`

B

`pi//2`

C

`pi`

D

0

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The correct Answer is:
C
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