Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma Class 12 Chapter Relation Exercise 1.1 Question 18 Subquestion (iii) Maths textbook solution.

Provide solution for RD Sharma Class 12 Chapter Relation Exercise 1.1 Question 18 Subquestion (iii) Maths textbook solution.

Answers (1)

Answer : Symmetric, Reflexive and transitive

Hint :

A relation R on set A is

Reflexive relation:

If  (a, a) \in R for every a \in A

Symmetric relation:

If (a,b) is true then (b,a)  is also true for every a, b \in A

Transitive relation:

If  (a,b) and (b, c) \in R then (a, c) \in R  for every a, b, c \in A

Given :

x y \text { is square of an integer } \ x, y \in N

(x, y) \in\{(1,1),(2,2),(4,1),(1,4)(3,3),(9,1),(1,9),(4,4),(2,8),(8,2),(16,1),(1,16) \ldots\}

Solution :

This is reflexive as  (1,1),(2,2) \ldots \ldotsare present.

This is also symmetric because a R b \Leftrightarrow b R a \text { for all } a, b \in N

This is transitive because if  a R b \text { and } b R c \Leftrightarrow a R c \ \ \ a, b, c \in N

This relation is reflexive, symmetric, and transitive.

Posted by

infoexpert23

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 wants international boards reined in; letter to education ministry seeks directions for AIU
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

Latest Question