Mathematics · 2022
JEE Main · 25 July 2022, Shift 1 · Q7
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^′ is equal to 3. Then the…
The curve $\displaystyle y(x)=\mathrm{a} x^3+\mathrm{b} x^2+\mathrm{c} x+5$ touches the $\displaystyle x$-axis at the point $\displaystyle \mathrm{P}(-2,0)$ and cuts the $\displaystyle y$-axis at the point Q , where $\displaystyle y^{\prime}$ is equal to $\displaystyle 3$ . Then the local maximum value of $\displaystyle y(x)$ is :
Official answer
(1)
$\displaystyle \frac{27}{4}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.