The solutions of 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,(0

Question

The solutions of the equation $\left|\begin{array}{ccc}1+\sin ^2 x & \sin ^2 x & \sin ^2 x \\cos ^2 x & 1+\cos ^2 x & \cos ^2 x \4 \sin 2 x & 4 \sin 2 x & 1+4 \sin 2 x\end{array}\right|=0,(0<x<\pi) \text {, are : }$ [JEE Main 2021, 18 Mar (Shift 1)]

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The solutions of the equation \(\left|\begin{array}{ccc}1+\sin ^2 x & \sin ^2 x & \sin ^2 x \\\cos ^2 x & 1+…

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The solutions of the equation \(\left|\begin{array}{ccc}1+\sin ^2 x &amp; \sin ^2 x &amp; \sin ^2 x \\\cos ^2 x &amp; 1+…

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The solutions of the equation \(\left|\begin{array}{ccc}1+\sin ^2 x & \sin ^2 x & \sin ^2 x \\\cos ^2 x & 1+…