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If the vectors veca and vecb are linearl...

If the vectors `veca and vecb` are linearly independent satisfying `(sqrt3 tan theta+1) veca+ (sqrt3 sec theta -2)vecb =0`, then the most general values of `theta` are

A

`npi-(pi)/(6),n inZ`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`sqrt(3) tan theta+1 =0 and sqrt(3) sec theta-2=0`
`implies theta=(11pi)/(6)`
`implies theta=2n pi+(11pi)/(6), n in Z`.
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