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Q)

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

$(a)\;\pm\large\frac{1}{2}$$\qquad(b)\;0,\large\frac{1}{2}\qquad$$(c)\;0,-\large\frac{1}{2}$$\qquad(d)\;0,\pm\large\frac{1}{2}$

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