Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Determine whether each of the following relations are reflexive, symmetric and transitive: Relation R in the set A of human beings in a town at a particular time given by R = {(x, y) : x is wife of y}

Q.1 Determine whether each of the following relations are reflexive, symmetric and
transitive:

(v). Relation R in the set A of human beings in a town at a particular time given by

(d) R = \{(x, y) : x\;is\;wife\;of\;y\}

Answers (1)

best_answer

R = \{(x, y) : x\;is\;wife\;of\;y\}

\left ( x,y \right ) \in R means x\;is\;wife\;of\;y but  x\;is\;not\, wife\;of\;x i.e.\left ( x,x \right ) \notin R.

So, it is not reflexive.

\left ( x,y \right ) \in R means x\;is\;wife\;of\;y but  y\;is\;not\, wife\;of\;x i.e.\left ( y,x \right ) \notin R.

So, it is not symmetric.

Let, \left ( x,y \right ),\left ( y,z \right ) \in R means x\;is\;wife\;of\;y and y\;is\;wife\;of\;z.

This case is not possible so it is not transitive.

Hence, it is not  reflexive, symmetric and
transitive.

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