Ex 1.4, 9 (v) - 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, 9 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (v) a * b = ab4 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) ∀ a, b, c ∈ Q * is an associative binary operation
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
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 You are here
Ex 1.4, 9 (vi)
Ex 1.4, 10
Ex 1.4, 11 Important
Ex 1.4, 12
Ex 1.4, 13 (MCQ) Important
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo