Relations and Functions CBSE Class 12 PYQ Chapter Wise

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Answer first

Relations and Functions PYQs (previous year questions) for CBSE Class 12: Relations and Functions (Mathematics) had 15 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 9 of them. Asked in 9 of 10 years. The concepts asked in the most papers: Types of Relations, Equivalence Relations, Bijective Functions.

Year-wise question count

Asked in 9 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Relations and Functions PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Relations and Functions questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.

CBSE Class 122026

• Q.32 (Mathematics (65/1/1)) · Long answer · Equivalence Relations: Check |x - y| divisible by prime p on Z is an equivalence relation PDF

CBSE Class 122025

• Q.19 (Mathematics (65/1/1)) · Assertion-Reason · Bijective Functions: A-R on whether f(x) = 3x - 5 on Z is a bijection PDF
• Q.37 (Mathematics (65/1/1)) · Case-based · Types of Relations: Case study: classify five relations on {1, 2, 3} PDF

CBSE Class 122024

• Q.1 (Mathematics (65/1/1)) · MCQ · Types of Functions: Whether f(x) = 4x + 3 on non-negative reals is one-one and/or onto PDF
• Q.26 (Mathematics (65/1/1)) · Short answer · Types of Relations: Check reflexive, symmetric, transitive for |x^2 - y^2| < 8 PDF

CBSE Class 122023

• Q.21 (Mathematics (65/1/1)) · Very short answer · Bijective Functions: Find set B for a one-one onto map f(x) = 2x on a given set PDF
• Q.32 (Mathematics (65/1/1)) · Long answer · Types of Relations: Check reflexive, symmetric, transitive for xy irrational on R PDF

CBSE Class 122020

• Q.11 (Mathematics (65/1/1)) · Fill in the blank · Types of Relations: Name the relation type defined by (a1,a2) in R implies (a2,a1) in R PDF
• Q.27 (Mathematics (65/1/1)) · Long answer I · Equivalence Relations: Show (a,b)R(c,d) iff ad = bc on N x N is an equivalence relation PDF

CBSE Class 122019

• Q.5 (Mathematics (65/1/1)) · Short answer · Binary Operations: Check if a*b = ab + 1 on R is binary and associative PDF
• Q.13 (Mathematics (65/1/1)) · Long answer I · Types of Relations: Show a <= b relation is reflexive, transitive, not symmetric PDF

CBSE Class 122018

• Q.4 (Mathematics (65/1)) · Very short answer · Binary Operations: Evaluate a composite binary operation built on 'larger of a and b' PDF
• Q.24 (Mathematics (65/1)) · Long answer II · Equivalence Relations: Show |a - b| divisible by 4 is an equivalence relation; classes PDF

CBSE Class 122017

• Q.25 (Mathematics (65/1)) · Long answer II · Bijective Functions: Show f(x)=(4x+3)/(3x+4) is bijective and find its inverse PDF

CBSE Class 122016

• Q.21 (Mathematics (65/1/N)) · Long answer II · Binary Operations: Commutativity, associativity, identity and inverse on R x R PDF

Other Mathematics chapters

• Inverse Trigonometric Functions PYQs
• Matrices PYQs
• Determinants PYQs
• Continuity and Differentiability PYQs
• Application of Derivatives PYQs
• Integrals PYQs
• Application of Integrals PYQs
• Differential Equations PYQs
• Vector Algebra PYQs
• Three Dimensional Geometry PYQs
• Linear Programming PYQs
• Probability PYQs

FAQ

How many Relations and Functions questions come in CBSE Class 12?

In the official papers we tagged: 1 in 2026, 2 in 2025, 2 in 2024, 2 in 2023, 2 in 2020, 2 in 2019, 2 in 2018, 1 in 2017 and 1 in 2016. Not asked in the other year. That is 15 questions in all, about 5% of Mathematics.

Which Relations and Functions topics repeat in CBSE Class 12?

Asked in the most papers: Types of Relations, Equivalence Relations, Bijective Functions. The concept table lists every one with its count.

Are these official CBSE Class 12 questions?

Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.