Example 1 - Chapter 1 Class 12 Relation and Functions

Last updated at June 6, 2023 by Teachoo

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Example 1 Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a, b) : a is sister of b} is the empty relation and R′ = {(a, b) : the difference between heights of a and b is less than 3 meters} is the universal relation. For relation R R = {(a, b) : a is sister of b} It is a boys school, so there are no girls student. There cannot be sister of any student of the school. Hence, R = φ, i.e. R is an empty relation. For relation R’ R’ = {(a, b) : the difference between heights of a and b is less than 3 meters} The difference between heights of any two students of the school has to be less than 3 meters (9.8 foot). So, R′ is the universal relation.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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