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Relations and Functions
JEE Advanced · Mathematics · 31 past questions
Topic
Composition and inverse functions
2
One-one, onto and bijective functions
2
Functional equations
1
Values, range and extrema of specific functions
1
Continuity and differentiability of defined functions
0
Counting functions and relations
0
NEW: Odd/even and monotonic behaviour
0
Level
Easy
6
Moderate
21
Tough
4
Year
2026
0
2025
0
2024
0
2023
0
2022
0
2020
1
2018
0
2016
0
2015
0
2014
0
2012
1
2011
1
2010
0
2009
1
2008
1
2007
1
6 of 31 ·
show all
Q14
2020 Paper 2
Let the function $f:[0,1]\to\mathbb{R}$ be defined by…
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Q22
2012 Paper 1
The function $f:[0,3]\to[1,29]$, defined by $f(x)=2x^3-15x^2+36x+1$, is
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Q24
2011 Paper 1
Let $f:\mathbb{R}\to\mathbb{R}$ be a function such that…
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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
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Q29
2008 Paper 2
Let the function $g:(-\infty,\infty)\to\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$ be given by…
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Q30
2007 Paper 2
$\dfrac{d^2x}{dy^2}$ equals
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