Skip to main content
Super TutorResources
Chapter 2 of 14
Chapter Summary

Relations and Functions — Chapter Summary

CBSE · Class 11 · Mathematics

Summary of Relations and Functions for CBSE Class 11 Mathematics. Key concepts: A pair of elements written, For two non and A relation from a non.

136 questions56 flashcards9 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Relations and Functions? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.

Try Super Tutor — Free

Free trial, no card needed.

Overview

Relations and functions describe how elements of one set connect with elements of another set. A relation is any collection of ordered pairs, while a function is a special relation in which each element of the first set has exactly one image in the second set. Cartesian products, domains, ranges, an

Key Concepts

A pair of elements written

A pair of elements written in a fixed order. Two ordered pairs are equal only when their first elements are equal and their second elements are equal.

For two non

For two non-empty sets P and Q, the Cartesian product P × Q is the set of all ordered pairs (p,q) with p in P and q in Q. If either set is null, the p

A relation from a non

A relation from a non-empty set A to a non-empty set B is any subset of A × B. It is formed by describing a connection between the first and second el

The domain is the set

The domain is the set of all first elements in a relation. The codomain is the whole set B. The range is the set of all second elements actually used,

A function is a relation

A function is a relation in which every element of the first set has one and only one image in the second set. A function is written as f: A → B.

Learning Objectives

  • Understand ordered pairs and Cartesian products of sets.
  • Identify and form relations between two sets.
  • Find the domain, codomain, and range of a relation.
  • Distinguish between a relation and a function.
  • Study special real functions such as identity, constant, polynomial, rational, modulus, signum, greatest integer, and linear functions.

Frequently Asked Questions

What are the important topics in Relations and Functions for CBSE Class 11 Mathematics?
Key topics in Relations and Functions include A pair of elements written, For two non, A relation from a non, The domain is the set. Study these first, then practise questions on each for Class 11 exams.
How should I revise Relations and Functions for Class 11 exams?
Learn the core ideas first, then work through the 136 practice questions on Relations and Functions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

More resources for Relations and Functions

All CBSE Class 11 Mathematics Chapter Summary

For serious students

Get the full Relations and Functions chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 11 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free