Ex 1.4, 13 (MCQ) - Chapter 1 Class 12 Relation and Functions

Last updated at April 16, 2024 by

Ex 1.4, 13 - Consider a * b = a3 + b3. Choose (A) Is * both - Whether binary commutative/associative or not

Ex 1.4, 13 - Chapter 1 Class 12 Relation and Functions - Part 2

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Ex 1.4, 13 Consider a binary operation * on N defined as a * b = a3 + b3. Choose the correct answer. (A) Is * both associative and commutative? (B) Is * commutative but not associative? (C) Is * associative but not commutative? (D) Is * neither commutative nor associative? Check commutative * is commutative if a * b = b * a Since a * b = b * a, ∀ a, b ∈ N * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c), ∀ a, b, c ∈ N * is not associative Hence, B is the correct answer

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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