Mathematics · 2025
JEE Main · 2 April 2025, Shift 1 · Q8
If the function f(x)=2 x^3-9 a x^2+12 a^2 x+1, where a >0, attains its local maximum and local minimum values at p and q, respectively, such that…
If the function $\displaystyle f(x)=2 x^3-9 \mathrm{a} x^2+12 \mathrm{a}^2 x+1$, where $\displaystyle \mathrm{a}>0$, attains its local maximum and local minimum values at p and q , respectively, such that $\displaystyle \mathrm{p}^2=\mathrm{q}$, then $\displaystyle f(3)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 37$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.