The sum of possible values of x for tan$-$1(x + 1) + cot$-$1$\left( {{1 \over {x - 1}}} \right)$ = tan$-$1$\left( {{8 \over {31}}} \right)$ is :

Q)The sum of possible values of x for

tan^$-$1(x + 1) + cot^$-$1$\left( {{1 \over {x - 1}}} \right)$ = tan^$-$1$\left( {{8 \over {31}}} \right)$ is :

$-$${{{32} \over 4}}$

$-$${{{33} \over 4}}$

$-$${{{31} \over 4}}$

$-$${{{30} \over 4}}$

Solution

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