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

If `|(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+cos^(2)theta, 4sin2 theta),(sin^(2)theta, cos^(2)theta, 4 sin 2 theta-1)|=0` and `0 lt theta lt (pi)/2` then `cos 4 theta=`

A

`(-1)/2`

B

`1/2`

C

`(sqrt(3))/2`

D

`0`

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The correct Answer is:
B
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