# Relation & Function

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In many naturally occurring phenomena, two variables may be linked by some type of relationship. That brings us to the concept of relations. In contrast, a function defines how one variable depends on one or more other variables. This video series is based on Relations and Functions for class 12 students for board level and IIT JEE Mains.

• Class 12th Maths - Relations
• Relation & Function - Home
• Relation & Functions Syllabus
• Relations Overview
• Basic Example On Relation
• Domain & Range Overview
• Basic Example On Domain & Range
• Number Of Relations
• Types Of Relation & Trivial Relation
• Identity Relation & Reflexive Relation
• Symmetric Relation
• Transitive Relation
• Equivalence Relation
• Numerical On Reflexive & Symmetric Relation
• Reflexive Symmetric & Transitive Relation Example
• Equivalence Relation Numerical Example 1
• Equivalence Relation Numerical Example 2
• Equivalence Relation Numerical Example 3
• Equivalence Relation Numerical Example 4
• Class 12th Maths - Functions
• Functions Overview
• Terminology Of Functions
• Basic Example On Domain
• Basic Example On Range
• Number Of Functions
• Identifying Functions Graphs
• Identifying Function Arrow Diagram
• Types Of Function & One One Function
• Many One Function
• Onto Function Surjective
• One One Onto Function
• Many One Onto Function
• Into Function
• One One Into Function
• Many One Into Function
• Checking Of The One One Function
• One One Function Numerical Example 1
• One One Function Numerical Example 2
• One One Function Numerical Example 3
• Value Of The Function Numerical Example
• Bijective Function Numerical Example 1
• Bijective Function Numerical Example 2
• Overview Of Composition Of Function
• Composition Of Function Numerical Example 1
• Composition Of Function Numerical Example 2
• Composition Of Function Numerical Example 3
• Composition Of Function Numerical Example 4
• Inverse of Functon
• Overview Of Inverse Of Functions
• Existence Of Inverse Of A Functions
• More On Inverse Of Functions
• Inverse Of Functions Numerical Example 1
• Inverse Of Function Numerical Example 2
• Inverse Of Function Numerical Example 3
• First Property Of Inverse Of A Function
• Second Property Of Inverse Of A Function
• Third Property Of Inverse Of A Fuction
• Fourth Property Of Inverse Of A Function
• Binary Operations
• Overview Of Binary Operations
• Binary Operations Numerical Example 1
• Binary Operations Numerical Example 2
• Number Of Binary Operations
• Commutative Law
• Associative Law
• Commutative & Associative Law Numerical Example 1
• Commutative & Associative Law Numerical Example 2
• Commutative & Associative Law Numerical Example 3
• Identity Element
• Identity Element Numerical Example 1
• Identity Element Numerical Example 2
• Inverse Of Element
• Inverse Numerical Example 1
• Inverse Numerical Example 2
• Composition Table
• Multiplication Modulo Example
• Minimum Operation Numerical Example
• IIT/JEE Exams Questions
• HOTS Numerical First On Functions
• HOTS Numerical Second On Functions
• HOTS Numerical Third On Functions
• HOTS Numerical Fourth On Functions
• JEE Example First On Functions
• JEE Example Second On Functions
• JEE Example Third On Functions
• JEE Example Fourth On Functions
• JEE Example Fifth On Functions
• JEE Example Sixth On Functions
• JEE Example Seventh On Functions
• JEE Example Eighth On Functions
• JEE Example Ninth On Functions
• JEE Example Tenth On Functions
• JEE Example Eleventh On Functions
• JEE Example Twelfth On Functions
• JEE Example Thirteenth On Functions
• JEE Example Fourteenth On Functions
• JEE Example Fifteenth On Functions