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Mathematics · 2024 · 1 mark
CBSE 2024 · Region 2 · Set 3 · Q5
If for the matrix A = [tan x, 1; -1, tan x], A + A^′=2 √ 3 I, then the value of x ∈[0, (π)/2] is:
If for the matrix $\displaystyle \mathrm{A}=\left[\begin{array}{cc}\tan \mathrm{x} & 1 \\ -1 & \tan \mathrm{x}\end{array}\right], \mathrm{A}+\mathrm{A}^{\prime}=2 \sqrt{3} \mathrm{I}$, then the value of $\displaystyle \mathrm{x} \in\left[0, \frac{\pi}{2}\right]$ is :
Official answer
(C)
$\displaystyle \frac{\pi}{3}$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.