Ex 1.4, 2 (iii) - 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, 2 For each binary operation * defined below, determine whether * is commutative or associative. (iii) On Q, define a * b = ab/2 Check commutative * is commutative if a * b = b * a Since a * b = b * a โ a, b โ Q * is commutative a * b = ๐๐/2 b * a = ๐๐/2 = ๐๐/2 Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) โ a, b, c โ Q * is an associative binary operation (a * b)* c = (๐๐/2) * c = (๐๐/2 ร ๐)/2 = ๐๐๐/4 a * (b * c) = a * (๐๐/2) = (๐ ร ๐๐/2)/2 = ๐๐๐/4
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) You are here
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
Ex 1.4, 5
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
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