Mathematics · 2024
JEE Main · 30 January 2024, Shift 2 · Q7
Let f: R -{0} → R be a function satisfying f(x/y)=(f(x))/(f(y)) for all x, y, f(y) ≠ 0. If f^′(1)=2024, then
Let $\displaystyle f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$ be a function satisfying $\displaystyle f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}$ for all $\displaystyle x, y, f(y) \neq 0$. If $\displaystyle f^{\prime}(1)=2024$, then
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle x f^{\prime}(x)-2024 f(x)=0$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.