Mathematics · 2023
JEE Main · 25 January 2023, Shift 2 · Q70
Let the function f(x)=2 x^3+(2 p-7) x^2+3(2 p-9) x-6 have a maxima for some value of x<0 and a minima for some value of x>0. Then, the set of all…
Let the function $\displaystyle f(x)=2 x^3+(2 p-7) x^2+3(2 p-9) x-6$ have a maxima for some value of $\displaystyle x<0$ and a minima for some value of $\displaystyle x>0$. Then, the set of all values of p is
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \left(-\infty, \frac{9}{2}\right)$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.