Relations and Functions

JEE Advanced · Mathematics · 31 past questions

9 of 31 · show all

1. Q2 2025 Paper 1

   Let $\mathbb{N}$ denote the set of all natural numbers, and $\mathbb{Z}$ denote the set of all integers.…

   Try it →
2. Q5 2025 Paper 2

   Let $\mathbb{R}$ denote the set of all real numbers. Let $f:\mathbb{R}\to\mathbb{R}$ and…

   Try it →
3. Q17 2018 Paper 2

   Let $E_1=\left\{x\in\mathbb{R}: x\neq 1 \text{ and } \frac{x}{x-1}>0\right\}$ and…

   Try it →
4. Q19 2015 Paper 1

   Let $f(x)=\sin\left(\frac{\pi}{6}\sin\left(\frac{\pi}{2}\sin x\right)\right)$ for all $x\in\mathbb{R}$ and…

   Try it →
5. Q21 2014 Paper 2

   Let $f_1:\mathbb{R}\to\mathbb{R}$, $f_2:[0,\infty)\to\mathbb{R}$, $f_3:\mathbb{R}\to\mathbb{R}$ and…

   Try it →
6. Q25 2011 Paper 2

   Let $f(x)=x^2$ and $g(x)=\sin x$ for all $x\in\mathbb{R}$. Then the set of all $x$ satisfying…

   Try it →
7. Q27 2010 Paper 2

   Let $f$ be a real-valued function defined on the interval $(-1, 1)$ such that…

   Try it →
8. Q28 2009 Paper 2

   If the function $f(x)=x^3+e^{x/2}$ and $g(x)=f^{-1}(x)$, then the value of $g'(1)$ is

   Try it →
9. Q30 2007 Paper 2

   $\dfrac{d^2x}{dy^2}$ equals

   Try it →