Check sibling questions

Ex 1.1, 1 - Chapter 1 Class 12 Relation and Functions - Part 7

Ex 1.1, 1 - Chapter 1 Class 12 Relation and Functions - Part 8

This video is only available for Teachoo black users

Maths Crash Course - Live lectures + all videos + Real time Doubt solving!


Transcript

Ex 1.1, 1 Determine whether each of the following relations are reflexive, symmetric and transitive: (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y): y is divisible by x} R = {(x, y): y is divisible by x} Check Reflexive Since x is divisible by x (x, x) R R is reflexive Check symmetric To check whether symmetric or not, If (x, y) R, then (y, x) R Here (2, 4) R , as 4 is divisible by 2 but (4, 2) R as 2 is not divisible by 4 R is not symmetric Check transitive If y is divisible by x & z is divisible by y, then z is divisible by x If (x, y) R & (y, z) R , then (x,z) R R is transitive

Ask a doubt (live)
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.