jee-main 2022 Q72

jee-main · India · session2_25jul_shift1 Stationary points and optimisation Find critical points and classify extrema of a given function

The curve $y(x) = ax ^ { 3 } + bx ^ { 2 } + cx + 5$ 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 local maximum value of $y(x)$ is
(1) $\frac { 27 } { 4 }$
(2) $\frac { 29 } { 4 }$
(3) $\frac { 37 } { 4 }$
(4) $\frac { 9 } { 2 }$

The curve $y(x) = ax ^ { 3 } + bx ^ { 2 } + cx + 5$ 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 local maximum value of $y(x)$ is\\
(1) $\frac { 27 } { 4 }$\\
(2) $\frac { 29 } { 4 }$\\
(3) $\frac { 37 } { 4 }$\\
(4) $\frac { 9 } { 2 }$

Paper Questions

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