You are learning...

Chapter 1 Class 12 Relation and Functions

Start your learning journey with Teachoo today!

Start Learning Now

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

Serial order wise

Ex 1.1
Ex 1.2
Examples
Miscellaneous
Case Based Questions (MCQ)
Inverse of a function
Binary Operations

Concept wise

Relations - Definition
Empty and Universal Relation
To prove relation reflexive, transitive, symmetric and equivalent
Finding number of relations
Function - Definition
To prove one-one & onto (injective, surjective, bijective)
Composite functions
Composite functions and one-one onto
Finding Inverse
Inverse of function: Proof questions
Binary Operations - Definition
Whether binary commutative/associative or not
Binary operations: Identity element
Binary operations: Inverse

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