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If `x_(1),x_(2),x_(3)` are the real roots of the equation `x^(3)-x^(2)tantheta+xtan^(2)theta+tantheta=0and0ltthetalt(pi)/(4)` then the value of `tan^(-1)x_(1)+tan^(-1)x_(2)+tan^(-1)x_(3)" at "theta=(pi)/(12)` is

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
A
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