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JEE Advance - Mathematics (2001 - No. 19)

If $$\alpha + \beta = \pi /2$$ and $$\beta + \gamma = \alpha ,$$ then $$\tan \,\alpha \,$$ equals
$$2\left( {\tan \beta + \tan \gamma } \right)$$
$$\,\tan \beta + \tan \gamma $$
$$\tan \beta + 2\tan \gamma $$
$$2\tan \beta + \tan \gamma $$

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