Let f(x)=3 \sqrt{x-2}+\sqrt{4-x} be a real valued function. If \alpha and \beta are respectively the minimum and the maximum values of f, then \alpha^2+2 \beta^2 is equal to [4 Apr 2024 Shift 2]

JEE Main 4 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 12 of 90

Marks: +1, -0

Let f(x)=3√x−2+√4−x be a real valued function. If α and β are respectively the minimum and the maximum values of f, then α2+2β2 is equal to

[4 Apr 2024 Shift 2]

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