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Mathematics · 2023 · 1 mark
CBSE 2023 · Region 3 · Set 1 · Q4
For what value of x ∈[0, (π)/2], is A + A^′=√ 3 I, where A = [cos x, sin x; - sin x, cos x]?
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 $\displaystyle \mathrm{A}=\left[\begin{array}{cc}\cos \mathrm{x} & \sin \mathrm{x} \\ -\sin \mathrm{x} & \cos \mathrm{x}\end{array}\right] ?$
Official answer
(B)
$\displaystyle \frac{\pi}{6}$
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CBSE Class 12 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.