Question 17 - Examples - Chapter 1 Class 12 Relation and Functions

Last updated at Dec. 16, 2024 by

Example 34 - Show that +, x are commutative binary, but - Whether binary commutative/associative or not

Example 34 - Chapter 1 Class 12 Relation and Functions - Part 2
Example 34 - Chapter 1 Class 12 Relation and Functions - Part 3

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Question 17 Show that + : R R R and : R R R are commutative binary operations, but : R R R and : R R R are not commutative. Addition Since a + b = b + a Hence, + is a commutative binary operation Multiplication Since a b = b a Hence, is a commutative binary operation Subtraction We have to check if a b = b a Let a = 2 , b = 5 a b = 2 5 = 3 b a = 5 2 = 3 Since a b b a Hence, is not a commutative binary operation Division : R* R* R* Here R* is all real numbers except 0 We have to check if a b = b a Let a = 2 , b = 5 a b = = 2 5 b a = = 5 2 Since a b b a Hence, is not a commutative binary operation

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo