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
  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 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
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