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If a,b,c be positive real numbers and th...

If `a,b,c` be positive real numbers and the value of `theta=tan^(- 1)sqrt((a(a+b+c))/(b c))+tan^(- 1)sqrt((b(a+b+c))/(c a)) + tan^-1sqrt((c(a+b+a))/((ab))` then `tan theta` is equal to

A

`x=(pi)/(6)`

B

`x=(pi)/(2)`

C

`x=(2pi)/(3)`

D

`x=(5pi)/(6)`

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The correct Answer is:
d
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