# Ex 1.4, 2 (iii) - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Aug. 11, 2021 by Teachoo

Last updated at Aug. 11, 2021 by Teachoo

Transcript

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

Ex 1.4

Ex 1.4 ,1 (i)
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Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2022 Exams

Ex 1.4 ,1 (iii) Deleted for CBSE Board 2022 Exams

Ex 1.4 ,1 (iv) Important Deleted for CBSE Board 2022 Exams

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Ex 1.4, 2 (i) Important Deleted for CBSE Board 2022 Exams

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Chapter 1 Class 12 Relation and Functions (Term 1)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.