Q JEE MAIN 2022

Let $S$ be the set of all the natural numbers, for which the line $\frac{x}{a}+\frac{y}{b}=2$ is a tangent to the...

JEE Main Mathematics Medium

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Q JEE MAIN 2022

$f(x)=4 \log _e(x-1)-2 x^2+4 x+5, x>1$, which one of the following is NOT correct?

JEE Main Mathematics Hard

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Q JEE MAIN 2024

For the function $f(x)=(\cos x)-x+1, x \in \mathbb{R}$, between the following two statements (S1) $f(x)=0$ for only one value of...

JEE Main Mathematics Medium

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Q JEE-Main 2024

The interval in which the function f(x)=$x^x$,x>0, is strictly increasing is ______.

JEE Main Mathematics Easy

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Q JEE MAIN 2024

Let f(x)=x^5+2x^3+3x+1,x∈R, and g(x) be a function such that g(f(x))=x for all x∈R. Then (g(7))/(g^' (7)) is equal to :

JEE Main Mathematics Medium

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Q JEE MAIN 2024

For the function f(x)=sin⁡x+3x-2x2+x, where x0,2, consider the following two statements : (I) f is increasing in 0,2. (II) f'...

JEE Main Mathematics Hard

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Q JEE MAIN

Consider the function $\mathrm{f}:\left[\frac{1}{2}, 1\right] \rightarrow \mathrm{R}$ defined by $f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1$. Consider the statements (I) The curve...

JEE Main Mathematics Easy

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Q JEE MAIN 2024

Let $g: R \rightarrow R$ be a non constant twice differentiable such that $g^{\prime}\left(\frac{1}{2}\right)=g^{\prime}\left(\frac{3}{2}\right)$. If a real valued function $f$...

JEE Main Mathematics Easy

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Q JEE MAIN 2024

Let $f(x)=x^3+x^2 f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime}(3), x \in R$. Then $f^{\prime}(10)$ is equal to

JEE Main Mathematics Medium

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Q JEE MAIN 2025

A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

If the set of all values of a, for which the equation $5{x^3} - 15x - a = 0$ has...

JEE Main Mathematics Easy

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