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For all values of theta in(0,pi/2), the...

For all values of `theta in(0,pi/2),` the determinant of the matrix `[(-2,tantheta+sec^2theta,3),(-sintheta,costheta,sintheta),(-3,-4,3)]` always lies in the interval :

A

`[3,5]`

B

`(4,6)`

C

`(5/2,19/4)`

D

`[7/2,21/4]`

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The correct Answer is:
A
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