If \( A=\left(\begin{array}{cc}0 & \sin \alpha \\ \sin \alpha & 0\e...

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If \( A=\left(\begin{array}{cc}0 & \sin \alpha \\ \sin \alpha & 0\end{array}\right) \) and \( \operatorname{det}\left(A^{2}-\frac{1}{2} I\right)=0 \), then a
\( \mathrm{P} \)
IV possible value of \( \alpha \) is :
[JEE Main-2021 (March)]
(a) \( \frac{\pi}{4} \)
(b) \( \frac{\pi}{6} \)
(c) \( \frac{\pi}{2} \)
(d) \( \frac{\pi}{3} \)
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