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The values of x in (0, pi) satisfying th...

The values of x in `(0, pi)` satisfying the equation.
`|{:(1+"sin"^(2)x, "sin"^(2)x, "sin"^(2)x), ("cos"^(2)x, 1+"cos"^(2)x, "cos"^(2)x), (4"sin" 2x, 4"sin"2x, 1+4"sin" 2x):}| = 0`, are

A

`pi/12,pi/6`

B

`(7pi)/12, (11 pi)/12`

C

`(5pi)/12, (7pi)/12`

D

`(pi)/6, (5 pi)/6`

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