JEE Math Practice Question

Let the foot of perpendicular from a point P(1, 2, $$-$$1) to the straight line $$L:{x \over 1} = {y \over 0} = {z \over { - 1}}$$ be N. Let a line be drawn from P parallel to the plane x + y + 2z = 0 which meets L at point Q. If $$\alpha$$ is the acute angle between the lines PN and PQ, then cos$$\alpha$$ is equal to ________________.

1. A.$${1 \over {\sqrt 5 }}$$
2. B.$${{\sqrt 3 } \over 2}$$
3. C.$${1 \over {\sqrt 3 }}$$
4. D.$${1 \over {2\sqrt 3 }}$$