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The value of theta lying in (0,pi/2) and...

The value of `theta` lying in `(0,pi/2)` and satisfying : `|(1 + sin^(2)theta" "cos^(2)theta" "4sin4theta),(sin^(2)theta" "1 + cos^(2)theta" "4sin4theta),(sin^(2)theta" "cos^(2)theta" "1 + 4sin4theta)| = 0` is :

A

`pi/24`

B

`(3pi)/24`

C

`(5pi)/24`

D

`(11pi)/24.`

Text Solution

Verified by Experts

The correct Answer is:
D
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