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JEE MAIN 2022
25-07-22 S1
Question
The curve $y(x)=a x^3+b x^2+c x+5$ touches the $x$-axis at the point $P(-2,0)$ and cuts the $y$-axis at the point $Q$, where $y^{\prime}$ is equal to 3 . Then the local maximum value of $y(x)$ is :
Select the correct option:
A
$\frac{27}{4}$
B
$\frac{29}{4}$
C
$\frac{37}{4}$
D
$\frac{9}{2}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Medium
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