1. Chapter 1 Class 12 Relation and Functions (Term 1)
  2. Serial order wise
  3. Ex 1.1

Ex 1.1, 6 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at May 29, 2018 by

Ex 1.1, 6 - In set {1, 2, 3}, R = {(1, 2), (2, 1)} is symmetric - Ex 1.1

Advertisement

Ex 1.1, 6 - Chapter 1 Class 12 Relation and Functions - Part 2

Advertisement

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

    3. Ex 1.1

    Ex 1.2 →

Transcript

Ex 1.1, 6 Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive R = {(1, 2), (2, 1)} Check Reflexive If the relation is reflexive, then (a, a) R for every a {1,2,3} Since (1, 1) R R is not reflexive Check symmetric To check whether symmetric or not, If (a, b) R, then (b, a) R Here (1, 2) R , & (2, 1) R R is symmetric Check transitive To check whether transitive or not, If (a,b) R & (b,c) R , then (a,c) R Here, (1, 2) R and (2, 1) R but (1, 1) R. R is not transitive Hence, R is symmetric but neither reflexive nor transitive.

Chapter 1 Class 12 Relation and Functions (Term 1)
Serial order wise

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.