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Relations and Functions

CBSE · Class 12 · Mathematics

Quick revision notes for Relations and Functions — CBSE Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

59 questions20 flashcards5 concepts

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Key Topics to Revise

1

Types of Relations

  • A relation R from set A to set B is any subset of A × B
  • Empty relation: R = φ (no elements are related)
  • Universal relation: R = A × A (all elements are related to all elements)
2

Types of Functions

  • One-to-one (Injective): f(x₁) = f(x₂) ⟹ x₁ = x₂
  • Onto (Surjective): For every y ∈ Y, there exists x ∈ X such that f(x) = y
  • Bijective: Function that is both one-to-one and onto
3

Step-by-Step Problem Solving Techniques

  • Systematic approach to relation verification: check definition, then properties
  • Function type identification: test injectivity first, then surjectivity
  • Composition problems: work from inside out, check domains carefully

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Full Notes

Key Concepts

Relations are classified based on theirA relation R in setA relation R is symmetric ifA relation R is transitive ifA relation that is reflexive

Frequently Asked Questions

What are the important topics in Relations and Functions for CBSE Class 12 Mathematics?
Relations and Functions covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Relations and Functions — CBSE Class 12 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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