Ex 1.4, 9 (ii) - Chapter 1 Class 12 Relation and Functions

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Ex 1.4, 9 - Chapter 1 Class 12 Relation and Functions - Part 3

Ex 1.4, 9 - Chapter 1 Class 12 Relation and Functions - Part 4

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Ex 1.4, 9 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (ii) a * b = a2 + b2 Check commutative * is commutative if a * b = b * a Since a * b = b * a ∀ a, b ∈ Q * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) * is not an associative 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