Let f: R → R be a function defined by f(x) = log_√(2)[√(2)(sin x - cos x) + m - 2], for some m, such that the range of f is [0, 2]. Then the value of m is

Let f: R → R be a function defined by f(x) =… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 2

Let

f: \mathbb{R} \to \mathbb{R}

be a function defined by

f(x) = \log_{\sqrt{2}}[\sqrt{2}(\sin x - \cos x) + m - 2]

, for some

m

, such that the range of

f

[0, 2]

. Then the value of

m

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Correct option: A

[JEE Main 2023 · 25 Jan · Shift 2]

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