Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Binary Operations
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2024 Exams
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Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2024 Exams You are here
Binary Operations
Last updated at May 29, 2023 by Teachoo
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