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Functions question

2023 · 25 Jan · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 25 Jan · Shift 2 · Q33

Functions question

2023 · 25 Jan · Shift 2 · Q33

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

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

be a function defined by

f(x) = {\log _{\sqrt m }}\{ \sqrt 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

\underline{\hspace{2cm}}

A
4
B
3
C
5
D
2

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