Mathematics · 2023
JEE Main · 25 January 2023, Shift 2 · Q61
Let f: R → R be a function defined by f(x)= log_√ m {√ 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 $\displaystyle f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by
$\displaystyle f(x)=\log _{\sqrt{m}}\{\sqrt{2}(\sin x-\cos x)+m-2\}$, for some $\displaystyle m$, such that the range of $\displaystyle f$ is [$\displaystyle 0,2$]. Then the value of $\displaystyle m$ is $\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 5$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.