JEE-Mains 2015 (28/30)

Geometry Level 3

\[\text{ Let : } \tan^{-1}y=\tan^{-1}x+\tan^{-1} \left( \frac{2x}{1-x^2} \right) \quad \text{ where } |x|<\dfrac{1}{\sqrt{3}}\]

Express \(y\) in terms of \(x\).

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