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Q)

If $\tan^{-1}\large\frac{1}{a-1}$$=\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x$ is

$\begin{array}{1 1}(a)\;\large\frac{a}{2}&(b)\;a^3\\(c)\;a^2-a+1&(d)\;a^2+a-1\end{array}$

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