$\tan ^{-1}x +\tan^{-1} \frac{2x}{1-x^2} = 3 \tan ^{-1}(x) \;, |x| < \frac{1}{\sqrt 3}$ . Is this true ? Justify.

Question

$(A)\;True$
$(B)\;False$
$(C)\;Cannot\; be\; determined$