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CBSE 2023 · Region 3 · Set 1 · Q4 · 1 mark

For what value of $\displaystyle \mathrm{x} \in\left[0, \frac{\pi}{2}\right]$, is $\displaystyle \mathrm{A}+\mathrm{A}^{\prime}=\sqrt{3} \mathrm{I}$, where $\displaystyle \mathrm{A}=\left[\begin{array}{cc}\cos \mathrm{x} & \sin \mathrm{x} \\ -\sin \mathrm{x} & \cos \mathrm{x}\end{array}\right] ?$

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