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Chapter 1 Class 12 Relation and Functions

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
  Ex 1.3
  Ex 1.4
  Examples
  Miscellaneous
  Case Based Questions (MCQ)

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