Relations and Functions

JEE Advanced · Mathematics · 31 past questions

6 of 31 · show all

1. Q3 2025 Paper 1

   Let $\mathbb{R}$ denote the set of all real numbers. Let $f:\mathbb{R}\to\mathbb{R}$ be a function such that…

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2. Q7 2024 Paper 2

   Let $f:\mathbb{R}\to\mathbb{R}$ be a function such that $f(x+y)=f(x)+f(y)$ for all $x,y\in\mathbb{R}$, and…

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3. Q13 2020 Paper 2

   Let $f: \mathbb{R} \to \mathbb{R}$ and $g: \mathbb{R} \to \mathbb{R}$ be functions satisfying…

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4. Q16 2018 Paper 2

   Let $f:\mathbb{R}\to\mathbb{R}$ be a differentiable function with $f(0)=1$ and satisfying the equation…

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5. Q23 2012 Paper 2

   Let $f:(-1,1)\to\mathbb{R}$ be such that $f(\cos4\theta)=\dfrac{2}{2-\sec^2\theta}$ for…

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6. Q24 2011 Paper 1

   Let $f:\mathbb{R}\to\mathbb{R}$ be a function such that…

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