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JEE MAIN 2023
25-01-2023_S2
Question
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 values of $p$ is
Select the correct option:
A
$\left(\frac{9}{2}, \infty\right)$
B
$\left(0, \frac{9}{2}\right)$
C
$\left(-\infty, \frac{9}{2}\right)$
D
$\left(-\frac{9}{2}, \frac{9}{2}\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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JEE Main
Mathematics
Easy
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