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The values of \( \mathrm{x} \) in \( (0, \pi) \) satisfying the equation \( \left|\begin{array}{ccc}1+\sin ^{2} x & …

Q1

The values of \( \mathrm{x} \) in \( (0, \pi) \) satisfying the equation \( \left|\begin{array}{ccc}1+\sin ^{2} x & \sin ^{2} x & \sin ^{2} x \\ \cos ^{2} x & 1+\cos ^{2} x & \cos ^{2} x \\ 4 \sin 2 x & 4 \sin 2 x & 1+4 \sin 2 x\end{array}\right|=0 \), are

a

\( \frac{\pi}{12}, \frac{7 \pi}{12} \)

b

\( \frac{5 \pi}{12}, \frac{7 \pi}{12} \)

c

\( \frac{7 \pi}{12}, \frac{11 \pi}{12} \)

d

\( \frac{\pi}{12}, \frac{11 \pi}{12} \)

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