![Ex 1.4, 9 - Chapter 1 Class 12 Relation and Functions - Part 8](https://d1avenlh0i1xmr.cloudfront.net/a4a6c99e-0c53-4aa2-ac36-731f7dc287d4/slide41.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 : (iv) a * b = (a – b)2 Check commutative * is commutative if a * b = b * a Since a * b = b * a ∀ a, b ∈ Q * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation