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If |{:(1+cos^(2)theta,sin^(2)theta,4cos6...

If `|{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0`, and `theta in (0,(pi)/(3))`, then value of `theta` is

A

`(11pi)/(24)`

B

`(7pi)/(24)`

C

`(5pi)/(24)`

D

None of these

Text Solution

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The correct Answer is:
A, B
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