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If the vectors ` vec aa n d vec b` are linearly idependent satisfying `(sqrt(3)tantheta+1 vec a+sqrt(3)s e ctheta-2) vec b=0,` then the most general values of `theta` are a. `npi-pi/6, n in Z` b. `2npi+-(11pi)/6, n in Z` c. `npi+-pi/6, n in Z` d. `2npi+(11pi)/6, n in Z`

A

`n pi - (pi)/(6), n in Z`

B

`2n pi pm (11pi)/(6), n in Z`

C

`n pi pm (pi)/(6), n in Z`

D

`2n pi + (11 pi)/(6) , n in Z`

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The correct Answer is:
D
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