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Let the foot of perpendicular from a poi...

Let the foot of perpendicular from a point `P(1,2,-1)` to the straight line `L:(x)/(1)=(y)/(0)=(z)/(-1)` ne 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 `cosalpha` is equal to _______.

A

`(1)/(sqrt(5))`

B

`(sqrt(3))/(2)`

C

`(1)/(sqrt(3))`

D

`(1)/(2sqrt(3))`

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