Mathematics · 2022
JEE Main · 29 June 2022, Shift 2 · Q6
Let f: R → R be a function defined by f(x)=(x-3)^n_1(x-5)^n_2, n_1, n_2 ∈ N. Then, which of the following is NOT true?
Let $\displaystyle f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $\displaystyle f(x)=(x-3)^{n_1}(x-5)^{n_2}, n_1, n_2 \in \mathbb{N}$. Then, which of the following is NOT true?
Official answer
(3)
For $\displaystyle n_1=3, n_2=5$, there exists $\displaystyle \alpha \in(3,5)$ where $\displaystyle f$ attains local maxima.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.