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JEE-ADVANCED SERIES
Mathematics

Relations And Functions

11 previous year questions.

Volume: 11 Ques
Yield: Medium

High-Yield Trend

3
2023
3
2021
2
2020
1
2000
2
1983

Chapter Questions
11 MCQs

01
PYQ 1983
medium
mathematics ID: jee-adva
The domain of definition of the function is
1
(-3, -2) excluding - 2.5
2
[0, 1] excluding 0.5
3
[-2, 1) excluding 0
4
none of these
02
PYQ 1983
medium
mathematics ID: jee-adva
Which of the following functions is periodic?
1
f(x) = x - [x] where [x] denotes the largest integer less than or equal to the real number x
2
for
3
4
none of these
03
PYQ 2000
medium
mathematics ID: jee-adva
Let f : R R be any function. Define g : R R by g(x) = |f(x)| for all x. Then g is
1
onto if f is onto
2
one-one if f is one-one
3
continuous if f is continuous
4
differentiable if f is differentiable
04
PYQ 2020
medium
mathematics ID: jee-adva
Let the function be defined by
.
Suppose the function f has a local minimum at precisely when , where Then the value of is ______
05
PYQ 2020
medium
mathematics ID: jee-adva
Let the function be defined by and let be an arbitrary function. Let be the product function defined by . Then which of the following statements is/are TRUE?
1
If is continuous at , then is differentiable at
2
If is differentiable at , then is continuous at
3
If is differentiable at , then is differentiable at
4
If is differentiable at , then is differentiable at
06
PYQ 2021
medium
mathematics ID: jee-adva

Which of the following statements is TRUE ?

1
2
For every , there exists and such that
3
For every , there exists a such that
4
is an increasing function on the interval
07
PYQ 2021
medium
mathematics ID: jee-adva

Which of the following statements is TRUE?

1
, for all
2
, for all
3
, for all
4
, for all
08
PYQ 2021
easy
mathematics ID: jee-adva
Let and be functions such that ,


,
and .
09
PYQ 2023
medium
mathematics ID: jee-adva
Let f :[0,1] → [0,1] be the function defined by Consider the square region S = [0,1] x [0,1]. Let G = {(x,y) ∈ S: y > f(s)} be called the green region and R = {(x,y) ∈ S: y < f(s)} be called the red region. Let Lh = {(x,h) ∈ S: x ∈ [0,1] be the horizontal line drawn at a height h ∈ [0,1]. Then which of the following statements is(are) true?
1

There exists an h ∈ [ ] such that the area of the green region above the line Lh equals the area of the green region below the line Lh

2
There exists an h ∈ [ ] such that the area of the red region above the line Lh equals the area of the red region below the line Lh

3
There exists an h ∈ [ ] such that the area of the green region above the line Lh equals the area of the red region below the line Lh
4
There exists an h ∈ [ ] such that the area of the red region above the line Lh equals the area of the green region below the line Lh
10
PYQ 2023
medium
mathematics ID: jee-adva

Let tan-1 x ∈( ) for x ∈ R Then the number of real solutions of the equation √1 + cos (2x) = √2 tan -1 (tan x) in the set (- 3π/2, - π/2) ∪ (- π/2, π/2) ∪ (π/2, 3π/2) is equal to

11
PYQ 2023
hard
mathematics ID: jee-adva
Let tan-1 x ∈( ) for x ∈ R. Then the number of real solutions of the equation in the set is equal to

About Relations And Functions - JEE-ADVANCED

Relations And Functions is a vital chapter for JEE-ADVANCED aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Relations And Functions PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Relations And Functions carry the most weight. Then, tackle the questions iteratively to solidify your understanding.