![Ex 1.4, 9 - Chapter 1 Class 12 Relation and Functions - Part 6](https://d1avenlh0i1xmr.cloudfront.net/01a5a29b-32be-4de3-9aeb-00c33405a2ad/1.4,9-3-second-image.jpg)
Binary Operations
Binary Operations
Last updated at April 16, 2024 by Teachoo
Ex 1.4, 9 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (iii) a * b = a + ab Check commutative * is commutative if a * b = b * a Since a * b ≠ b * a * is not commutative a * b = a + ab Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation