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CBSE Class 11 Maths Notes Chapter 2 Relations and Functions

Here, we have provided CBSE Class 11 Maths Notes Chapter 2 Relations and Functions. Students can view these CBSE Class 11 Maths Notes Chapter 2 before exams for better understanding of the chapter.
authorImageNeha Tanna7 May, 2024
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CBSE Class 11 Maths Notes Chapter 2

CBSE Class 11 Maths Notes Chapter 2: Here are the Class 11 Maths Chapter 2 Relations and Functions Revision Notes based on the updated CBSE syllabus. Students can prepare for exams with great aid from the Revision Notes. To improve their exam scores, students should review these Chapter 2 Revision Notes on Relations and Functions.

Key mathematical ideas are covered in the Chapter Relations and Functions. Our subject matter experts have produced the solutions in simple language so that students can understand the mathematical topics that are difficult for them.

CBSE Class 11 Maths Notes Chapter 2 Overview

CBSE Class 11 Maths Notes Chapter 2 deals with relations and functions. We will review the ideas of functions and their relations in Chapter 2. The subjects covered in this Class 11 Maths Chapter 2 notes include the following: multiplication of two real functions, quotient function, algebra of a real function, relations, functions, and distinct types of functions. Important formulas are also contained in this chapter. This chapter provides methodical explanations of subjects through tasks and examples. These ideas are also available for download from the Class 11 notes on relations and functions so that students can easily use them.

CBSE Class 11 Maths Notes Chapter 2 PDF

Here we have provided CBSE Class 11 Maths Notes Chapter 2 PDF for the ease of students so that they can conveniently use these notes anytime anywhere. Students can use these notes before their exams for better preparation and understanding of concepts.

CBSE Class 11 Maths Notes Chapter 2 PDF

CBSE Class 11 Maths Notes Chapter 2

We will learn how to create a relation between two groups of things by linking pairs of objects in this chapter. We will examine how a function can be categorized as a connection. In conclusion, we will examine many categories of functions in addition to a few standard functions.

Relations

Cartesian Product of Sets

Relation

Domain and Range of a Relation

The inverse of a Relation

Functions

A relation ‘f’ from set A to set B is said to be a function if every element of set A has one and only one image in set B. Notations Notations 2 Notations 3

Domain, Co-domain, and Range of a function

The domain is believed to be the biggest set of x values for which the formula provides real y - values when

y = f ( x )

is defined using a formula and the domain is not indicated explicitly.

The domain of y = f ( x ) 𝑦=𝑓(𝑥) is the set of all real x for which 𝑓(𝑥) is defined (real).

Rules for Finding Domain

Range

The rule for Finding Range

Kinds of Functions

Kinds of functions Kinds of functions

Note:

  • Injective functions are called one-to-one functions.

  • Surjective functions are also known as onto functions.

  • Bijective functions are also known as (one-to-one) and (onto) functions.

Relations Which Cannot be Categorized as a Function

Relations which cannot be Categorized as a Function (a) Relations which cannot be Categorized as a Function (b)

Methods to check the one-one mapping

Some Standard Real Functions & their Graphs

Identity Function

Constant Function

Constant Function

Modulus Function

Absolute value function

Kinds of Functions

One-to-one or injective functions: There is only one corresponding element in set B for each element in set A. If there are elements in set B that match none in set A, then those elements might exist.

Onto or Surjective Functions: Functions that are onto or surjective have elements in set A that match one or more times for each member in set B.

Bijective functions: One-to-one and Onto functions are referred to as bijective functions. When every member has one matching element in the other set and no element is left out, this is also known as the perfect pairing.

Benefits of CBSE Class 11 Maths Notes Chapter 2

All of the study materials you need for your exam preparation are available here. You can find NCERT solutions, syllabi, exam paper solutions from prior years, key questions, and more here. This syllabus follows the guidelines set forth by the CBSE. Teachers with extensive experience produce the NCERT revision notes. The following are some advantages of our notes.

Solutions in Easy Language

Various professionals and researchers in the field prepare the revision notes for every chapter. Students can access the study materials provided by us only after conducting a thorough investigation to guarantee that all of the information is accurate and concise.

Focus on Fundamental Concepts

The chapter-by-chapter notes for NCERT Class 11 not only cover every topic on the syllabus, but they also clearly explain every fundamental idea needed to comprehend each topic.

Bette r Preparation

Students' test preparation will be improved, and their problems will be quickly cleared up with the help of Class 11 Maths NCERT Solutions. These revision notes will assist students in quickly understanding difficult ideas.

Important Topics

Key topics covered in the chapter are examined from an examination perspective.

CBSE Class 11 Notes for Maths
Chapter 1 Sets Notes Chapter 2 Relations and Functions Notes
Chapter 3 Trigonometric Functions Notes Chapter 4 Principle of Mathematical Induction Notes
Chapter 5 Complex Numbers and Quadratic Equations Notes Chapter 6 Linear Inequalities Notes
Chapter 7 Permutations and Combinations Notes Chapter 8 Binomial Theorem Notes
Chapter 9 Sequences and Series Notes Chapter 10 Straight Lines Notes
Chapter 11 Conic Sections Notes Chapter 12 Introduction to Three Dimensional Geometry Notes
Chapter 13 Limits and Derivatives Notes Chapter 14 Mathematical Reasoning Notes
Chapter 15 Statistics Notes Chapter 16 Probability Notes

CBSE Class 11 Maths Notes Chapter 2 FAQs

Which is the hardest chapter in maths class 11 CBSE?

Among the toughest chapters are “Limits and Derivatives,” which introduce abstract concepts like limits and derivatives of functions, often requiring students to think beyond traditional algebraic approaches.

Is 11th grade maths tough?

It can be tricky but if you stay determined everything is possible. It's definitely not hard, you just need time and practice. Lots of practice. More than what you did in class 10.

Which is the easiest chapter in maths class 11?

Sets, Relation and function: - They are quite easy chapter.
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