JEE Advance - Mathematics (1978 - No. 19)
If $$\tan \alpha = {m \over {m + 1}}\,$$ and $$\tan \beta = {2 \over {2m + 1}},$$ find the possible values of $$\left( {\alpha + \beta } \right).$$
$$\frac{\pi}{4}$$
$$\frac{\pi}{2}$$
$$n\pi + \frac{\pi}{4}$$
$$n\pi + \frac{\pi}{2}$$
$$\frac{\pi}{3}$$