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MAXIMA AND MINIMA

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
If the local maximum value of the function $f(x)=\left(\frac{\sqrt{3 e}}{2 \sin x}\right)^{\sin ^2 x}, x \in\left(0, \frac{\pi}{2}\right)$, is $\frac{k}{e}$, then $\left(\frac{k}{e}\right)^8+\frac{k^8}{e^5}+k^8$ is equal to-
JEE Main Mathematics Medium
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Q JEE MAIN
Let the set of all positive values of $\lambda$, for which the point of local minimum of the function $\left(1+x\left(\lambda^2-x^2\right)\right)$ satisfies $\frac{x^2+x+2}{x^2+5 x+6}<0$, be $...
JEE Main Mathematics Medium
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Q JEE MAIN
A variable line L passes through the point (3,5) and intersects the positive coordinate axes at the points A and B. The minimum area of...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $f(x)=4 \cos ^3 x+3 \sqrt{3} \cos ^2 x-10$. The number of points of local maxima of $f$ in interval $(0,2 \pi)$ is:
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The number of critical points of the function $f(x)=(x-2)^{2 / 3}(2 x+1)$ is:
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The maximum area of a triangle whose one vertex is at $(0,0)$ and the other two vertices lie on the curve $y=-2 x^2+54$ at points...
JEE Main Mathematics Medium
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Q JEE MAIN
In an A.P., the sixth terms a_6=2. If the a_1 a_4 a_5 is the greatest, then the common difference of the A.P., is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $x = - 1$ and $x = 2$ be the critical points of the function $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the function $f(x) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1$, where $a > 0$ , attains its local maximum and local minimum values...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The sum of all local minimum values of the function $...
JEE Main Mathematics Medium
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