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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

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