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Question
The solutions of the equation $$\left| {\matrix{ {1 + {{\sin }^2}x} & {{{\sin }^2}x} & {{{\sin }^2}x} \cr {{{\cos }^2}x} & {1 + {{\cos }^2}x} & {{{\cos }^2}x} \cr {4\sin 2x} & {4\sin 2x} & {1 + 4\sin 2x} \cr } } \right| = 0,(0 < x < \pi )$$, are
${\pi \over {12}},{\pi \over 6}$
${\pi \over 6},{{5\pi } \over 6}$
${{5\pi } \over {12}},{{7\pi } \over {12}}$
${{7\pi } \over {12}},{{11\pi } \over {12}}$

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