Set Relation Functions – Most Repeated & Important Questions for JEE Mains 2026
Set Relation Functions – Most Repeated & Important Questions
JEE MAINS 2026 • Chapter-wise Practice
Q1. Let R = {(1,2),(2,3),(3,3)} be a relation on {1,2,3,4}.
Minimum number of ordered pairs to be added so that R becomes an equivalence relation is:
9
8
7
10
Q2. Let A = {α,β ∈ R×R : |α−1|≤4, |β−5|≤6} and
B = {α,β ∈ R×R : 16(α−2)² + 9(β−6)² ≤ 144}. Then:
A ⊂ B
B ⊂ A
Neither A ⊂ B nor B ⊂ A
A ∪ B is rectangle
Q3. If total number of subsets of A is 56 more than that of B, where A has m and B has n elements, then distance of point (m,n) from (−2,−3) is:
8
10
4
6
Q4. Let R be a relation on N×N defined by
(a,b)R(c,d) ⇔ ad(b−c)=bc(a−d). Then R is:
Reflexive and transitive only
Reflexive and symmetric
Transitive only
Symmetric but neither reflexive nor transitive
Q5. Let A = {−2,−1,0,1,2,3}. Relation R on A defined by y = max{x,1}.
If l = number of elements in R and m,n are minimum elements added to make it reflexive and symmetric respectively, then l + m + n equals:
11
12
14
13
Q6. Number of integers n satisfying |n² − 10n + 19| < 6 is:
Q7. Let A={2,3,6,7} and B={4,5,6,8}.
Relation R on A×B defined by a₁+a₂=b₁+b₂.
Number of elements in R is:
Q8. Let S = N ∪ {0}. Relation R from S to R defined by
logₑ y = x logₑ(2/5).
Sum of all elements in range of R is:
3/2
10/9
5/2
5/3
Q9. The number of elements in set { n ∈ Z : |n² − 10n + 19| < 6 } is:
Q10. Let f(x)=x²−3x+2. Number of real solutions of f(f(x))=0 is:
2
3
4
6
Sets, Relations & Functions – JEE Mains Theory
Sets, Relations and Functions is a high-weightage chapter in JEE Mains. Questions are usually direct but concept-based, especially from relations properties and function composition.
Important Topics:
Equivalence relations
Counting ordered pairs
Domain & range
Composite and inverse functions
Set inequalities and modulus
JEE Mains Trend:
Almost every year 1–2 questions appear from this chapter, mostly numerical or single-correct MCQ.