You are learning...

# Chapter 1 Class 12 Relation and Functions

Click on any of the links below to start learning from Teachoo...

Get NCERT Solutions for Chapter 1 Class 12 Relation and Functions. Solutions of all questions and examples are given.

In this Chapter, we study

• What a Relation is, Difference between relations and functions and finding relation
• Then, we define Empty and Universal Relation and take some examples
• We study different relations and check if they are reflexive, transitive, symmetric using different questions
• Questions on finding number of relations are solved. These are important questions and can come in the exams
• Then, we define Functions and do examples to check if it is a function or not.
• We prove functions one-one & onto, one-one is also called injective ; onto is also called surjective and both one-one and onto is called bijective
• Then, we find Composite functions - fog and gof... and also what is domain and range of fog and gof
• Then we prove Composite functions one-one and onto
• We learn what is an inverse of a function, check if a function has inverse or not and find an inverse
• Then, we do some proof questions with inverse of
• We learn about Binary Operations
• And check whether they are commutative or associative
• We also find Identity Element in a Binary Operation
• And then, find its inverse

Besides providing, NCERT Solutions of Chapters, we also provide Sample Papers and Important Questions

## Concept wise

What's in it?

Get NCERT Solutions for Chapter 1 Class 12 Relation and Functions. Solutions of all questions and examples are given.

In this Chapter, we study

• What a Relation is, Difference between relations and functions and finding relation
• Then, we define Empty and Universal Relation and take some examples
• We study different relations and check if they are reflexive, transitive, symmetric using different questions
• Questions on finding number of relations are solved. These are important questions and can come in the exams
• Then, we define Functions and do examples to check if it is a function or not.
• We prove functions one-one & onto, one-one is also called injective ; onto is also called surjective and both one-one and onto is called bijective
• Then, we find Composite functions - fog and gof... and also what is domain and range of fog and gof
• Then we prove Composite functions one-one and onto
• We learn what is an inverse of a function, check if a function has inverse or not and find an inverse
• Then, we do some proof questions with inverse of
• We learn about Binary Operations
• And check whether they are commutative or associative
• We also find Identity Element in a Binary Operation
• And then, find its inverse

Besides providing, NCERT Solutions of Chapters, we also provide Sample Papers and Important Questions