NCERT Solutions of Class 12 Maths | CBSE Textbook Solutions | Chapter 1 | Relations and Functions | Exercise 1.1 | Question 6 |

Question Details
BookNCERT Textbook
Chapter1 [Relations and Functions]
Question No.6
Question TypeExercise

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.

Expert Answer


A=\{1,2,3,\}: R=\{(1,2),(2,1)\}
(a) Reflexive : \(R=\{(a, a)\}\) where \(a \in A\). \(=\{(1,1),(2,2),(3,3)\}\) this is not true so not reflexive.
(b) Symmetric : \(R=\left\{\left(a_1, a_2\right)\right\}\) and \(R=\left\{\left(a_2, a_1\right)\right\}\) as \((1,2) \in R\) as well as \((2,1) \in R\). So symmetric.
(c) Transitive : \(R=\left\{\left(a_1, a_2\right)\right\}\) and \(R=\left\{\left(a_2, a_3\right)\right\}\). Not transitive.

Verified Answer

Share This Answer With Your School Friends


  • Our Answers are always accurate, since they are validated by prominent faculty members of Abstract Classes.
  • Although, if there is a problem with the above answer, please let us know and we will verify and rectify ourselves if we find a mistake.
  • In the future, we hope to establish a learning environment where every student is able to find the right answer.

Noticed a Mistake

Don't worry about it. You only need to copy the Question URL and then click the submit button below.

Search us like this in Google 🔍

CBSE Class 12 Maths Solution Abstract Classes NCERT Mathematics Solution Abstract Classes IGNOU Maths Assignment Solution IGNOU PGDAST Abstract Classes IGNOU Physics Abstract Classes

Bookmark This Awesome Website 

Leave a Comment

Scroll to Top
Scroll to Top