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Let alpha, beta are the roots of the equ...

Let `alpha, beta` are the roots of the equation `x^(2)+7x+k(k-3)=0`, where `k in (0, 3)` and k is a constant. Then the value of `tan^(-1)alpha+tan^(-1)beta+"tan"^(-1)(1)/(alpha)+"tan"^(-1)(1)/(beta)` is :

A

`pi`

B

`(pi)/(2)`

C

0

D

`-(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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