Functions PYQs - Last 10 Years
JEE Main / Mathematics / Calculus / 153 recent questions
MathematicsCalculus2017-2026
Practice 153 JEE Main Mathematics questions from Functions. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
153
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
103
Last 5 Years
2022-2026
153
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
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2026Latest year
202127 max PYQs/year2026
Question Types
153PYQs
MCQ77.8%
INTEGER22.2%
Difficulty Mix
#1 Medium135
#2 Hard12
#3 Easy6
103 in last 5 years153 in last 10 years
Last 10 Years Functions Questions
Showing 3 of 153 filtered questions.
1Functions
Let f(x) = 210.x + 1 and g(x)=310.x \(-\) 1. If (fog) (x) = x, then x is equal to :
MCQ+4 / -12017
2Functions
The function \(f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]\) defined as
\(f\left( x \right) = {x \over {1 + {x^2}}}\), is
\(f\left( x \right) = {x \over {1 + {x^2}}}\), is
MCQ+4 / -12017
3Functions
Let \(a\), b, c \(\in R\). If \(f\)(x) = ax2 + bx + c is such that
\(a\) + b + c = 3 and \(f\)(x + y) = \(f\)(x) + \(f\)(y) + xy, \(\forall x,y \in R,\)
then \(\sum\limits_{n = 1}^{10} {f(n)}\) is equal to
\(a\) + b + c = 3 and \(f\)(x + y) = \(f\)(x) + \(f\)(y) + xy, \(\forall x,y \in R,\)
then \(\sum\limits_{n = 1}^{10} {f(n)}\) is equal to
MCQ+4 / -12017