Let f(x)=\left|\begin{array}{c}1+ \sin \\\^2 x & \cos ^2 x & \sin \\\2 x \ \sin \\\^2 x & 1+\cos ^2 x & \sin \\\2 x \ \sin \\\^2 x & \cos ^2 x & 1+ \sin \\\2 x|\end{array}, {\x} \in [\frac{\pi}{6}, \frac{\pi}{3}]. If \alpha a \beta respectively are the maximum and the minimum values of f, then [1-Feb-2023 Shift 1]

Correct Answer is : β2−2√α=194

\beta^2-2 \sqrt{\alpha}=\frac{19}{4}

\beta^2+2 \sqrt{\alpha}=\frac{19}{4}

JEE Mains 1-Feb-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 77 of 90

Marks: +1, -0

Let ‌‌f(x)=|

|, x∈[‌

,‌

]. If α a β respectively are the maximum and the minimum values of f, then

[1-Feb-2023 Shift 1]

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