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Mathematics · 2021

JEE Main · 27 July 2021, Shift 1 · Q82

Let f(x)= |sin^2 x, -2+ cos^2 x, cos 2 x; 2+ sin^2 x, cos^2 x, cos 2 x; sin^2 x, cos^2 x, 1+ cos 2 x|, x ∈[0, π]. Then the maximum value of f(x) is…

Let $\displaystyle f(x)=\left|\begin{array}{ccc}\sin ^2 x & -2+\cos ^2 x & \cos 2 x \\ 2+\sin ^2 x & \cos ^2 x & \cos 2 x \\ \sin ^2 x & \cos ^2 x & 1+\cos 2 x\end{array}\right|, x \in[0, \pi]$. Then the maximum value of $\displaystyle f(x)$ is equal to \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.