Ex 1.4, 13 (MCQ) - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 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
Binary Operations
Ex 1.4 ,1 (ii) Important
Ex 1.4 ,1 (iii)
Ex 1.4 ,1 (iv) Important
Ex 1.4 ,1 (v)
Ex 1.4, 2 (i) Important
Ex 1.4, 2 (ii)
Ex 1.4, 2 (iii)
Ex 1.4, 2 (iv) Important
Ex 1.4, 2 (v)
Ex 1.4, 2 (vi) Important
Ex 1.4, 3
Ex 1.4, 4
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Ex 1.4, 6 Important
Ex 1.4, 7
Ex 1.4, 8
Ex 1.4, 9 (i)
Ex 1.4, 9 (ii)
Ex 1.4, 9 (iii)
Ex 1.4, 9 (iv) Important
Ex 1.4, 9 (v) Important
Ex 1.4, 9 (vi)
Ex 1.4, 10
Ex 1.4, 11 Important
Ex 1.4, 12
Ex 1.4, 13 (MCQ) Important You are here
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