Check sibling questions
Chapter 1 Class 12 Relation and Functions
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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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Transcript

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.