Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Check if the relation R on the set A = { 1, 2, 3, 4, 5, 6 } defined as R = { (x, y) : y is divisible by x } is (i) symmetric (ii) transitive     n

Check if the relation R on the set A = { 1, 2, 3, 4, 5, 6 } defined as R = { (x, y) : y is divisible by x } is (i) symmetric (ii) transitive

 

 
 
 
 
 

Answers (1)

A = {1, 2, 3, 4, 5, 6}

R = {(x, y) : y is divisible by x} 

i)

\\ $ Check for Symmetric: $ \\ $ if $ (\mathrm{a}, \mathrm{b}) \in \mathrm{R}$ $ then $ (\mathrm{b}, \mathrm{a}) \in \mathrm{R} $\Rightarrow \mathrm{R}$ is Symmetric $

\\$Here $ \operatorname{As}(1,2) \in R$ but (2,1)$\notin R \Rightarrow R$ is not symmetric

ii)

\\ $ Check For transitive : $ \\ $ If $(a, b),(b, c) \in R $ then $ (a, c) \in R \Rightarrow $ R is transitive $

b=ka , c = lb

c = kla

\Rightarrow $ c is divisible by a

$ R is transitive.

Posted by

Safeer PP

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

CBSE 12th Computer Science Analysis 2026: Competency-based, direct questions, ‘easy’ MCQs; IP paper ‘balanced’
anam-khan

CBSE Class 12 Computer Science, IT, IP Exam 2026 LIVE: Question papers 'moderate', analysis updates
anam-khan

CBSE Board 12th Exams 2026 LIVE: Class 12 political science exam 'moderate' in difficulty; simple MCQs

Latest Question