Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Give an example of a relation. Which is Symmetric and transitive but not reflexive.

Q.10 Give an example of a relation.

(v) Which is Symmetric and transitive but not reflexive.

Answers (1)

best_answer

Let there be a relation A in R

A= \left \{ 1,2 \right \}

R=\left \{ (1,2),(2,1),(2,2)\right \}

(1,1)\notin R  So R is not reflexive.

We can see  (1,2)\in R  and  (2,1)\in R 

So it is symmetric.

Let (1,2)\in R     and  (2,1)\in R  

Also  (2,2)\in R

Hence, it is transitive.

Thus, it  Symmetric and transitive but not reflexive.

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question