If the angle between the lines with direction ratios `(1,0 , pm cos alpha)` is `60^(circ)` , then what is the value

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Q 2359378214.     If the angle between the lines with direction ratios

`(1,0 , pm cos alpha)` is `60^(circ)` , then what is the value of `alpha`?
NDA 2008 Paper 1
A

`cos^(-1) (1/sqrt(2) )`

B

`cos^(-1) (1/sqrt(3) )`

C

`cos^(-1) (1/3 )`

D

`cos^(-1) (1/2 )`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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