Relation is a subset of Cartesian product .


Let us take an example

Let A = {a, b, c, d}

and B = {Aman, Ankit, Baljinder, Chandu, Eklavya}


We define relation as

R = {(x, y): x is the first letter of y, x ∈ A, y ∈ B}


So, our relation R is

R = {(a, Aman), (a, Ankit), (b, Baljinder), (c, Chandu)}


Representing relations with arrow is called arrow diagram

Relation example.jpg

Now, in our relation

Domain = Set of all first elements in R

Domain = {a, b, c}


Note that

Domain  ≠ A


Range = Set of all second elements in R

Range = {Aman, Ankit, Baljinder, Chandu}


Codomain = 2nd set

Codomain = Q = {Aman, Ankit, Baljinder, Chandu, Darshan}

  1. Chapter 1 Class 12 Relation and Functions (Term 1)
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.