Class 12 Mathematics — Chapter 1: Relations and Functions
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 12 Mathematics Chapter 1, "Relations and Functions", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Relations and Functions" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Relations and Functions, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 12 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Relations and Functions (Class 12 Mathematics)
This chapter classifies relations and functions by their properties — reflexive, symmetric, transitive relations, and one-one/onto functions — and studies invertible (bijective) functions.
- Types of relations
- A relation on a set can be reflexive (aRa), symmetric (aRb ⇒ bRa) and transitive (aRb, bRc ⇒ aRc). An equivalence relation is all three.
- Equivalence classes
- An equivalence relation partitions a set into disjoint equivalence classes.
- One-one (injective)
- A function where distinct inputs give distinct outputs: f(x₁) = f(x₂) ⇒ x₁ = x₂.
- Onto (surjective)
- A function whose range equals its codomain — every element of the codomain is an image.
- Bijective & invertible
- A function that is both one-one and onto is bijective and therefore invertible; only bijections have an inverse.
Key formulas — Relations and Functions
💡 Exam tips for Relations and Functions
- To prove a relation is an equivalence relation, check all three properties separately.
- A function is invertible only if it is bijective — show both one-one and onto before finding f⁻¹.
Sample questions
Relation R = {(a,a) : a ∈ A} is:
Each element related to itself.
Equivalence relation needs:
All three properties.
f has an inverse iff it is:
Both injective and surjective.
Relations and Functions — FAQs
What are the key concepts in Class 12 Mathematics Relations and Functions?+
This chapter classifies relations and functions by their properties — reflexive, symmetric, transitive relations, and one-one/onto functions — and studies invertible (bijective) functions. Key ideas include Types of relations, Equivalence classes, One-one (injective), Onto (surjective), Bijective & invertible.
What does Class 12 Mathematics Chapter 1 (Relations and Functions) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Relations and Functions" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Relations and Functions" questions free to practise?+
Yes — sign in with Google to practise "Relations and Functions" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Relations and Functions" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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