JEE Math Practice Question

Let $$\alpha $$ and $$\beta $$ be two real roots of the equation (k + 1)tan2x - $$\sqrt 2 $$ . $$\lambda $$tanx = (1 - k), where k($$ \ne $$ - 1) and $$\lambda $$ are real numbers. if tan2 ($$\alpha $$ + $$\beta $$) = 50, then a value of $$\lambda $$ is:

1. A.5$$\sqrt 2 $$
2. B.10
3. C.5
4. D.10$$\sqrt 2 $$