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If x(1), x(2), x(3), x(4) are positive r...

If `x_(1), x_(2), x_(3), x_(4)` are positive roots of the equation `x^(4)-8x^(3)+ax^(2)-bx+16=0` then `tan^(-1)(x_(1))+tan^(-1)(x_(2))+tna^(-1)(x_(3))+tan^(-1)(x_(4))` can be equal to

A

`pi+4 tan^(-1)(2)`

B

`4 tan^(-1)(2)`

C

`pi-4tan^(-1)(2)`

D

none of these

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Verified by Experts

The correct Answer is:
B
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