Question 17 - Whether binary commutative/associative or not - Chapter 1 Class 12 Relation and Functions
Last updated at April 16, 2024 by Teachoo
Whether binary commutative/associative or not
Ex 1.4, 12 Deleted for CBSE Board 2024 Exams
Question 17 Deleted for CBSE Board 2024 Exams You are here
Question 18 Deleted for CBSE Board 2024 Exams
Ex 1.4, 4 Deleted for CBSE Board 2024 Exams
Ex 1.4, 5 Deleted for CBSE Board 2024 Exams
Associative Binary Operations
Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2024 Exams
Question 19 Deleted for CBSE Board 2024 Exams
Question 20 Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (i) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (i) Deleted for CBSE Board 2024 Exams
Question 24 (a) Deleted for CBSE Board 2024 Exams
Ex 1.4, 6 Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 8 Deleted for CBSE Board 2024 Exams
Question 8 Deleted for CBSE Board 2024 Exams
Whether binary commutative/associative or not
Last updated at April 16, 2024 by Teachoo
Question 17 Show that + : R R R and : R R R are commutative binary operations, but : R R R and : R R R are not commutative. Addition Since a + b = b + a Hence, + is a commutative binary operation Multiplication Since a b = b a Hence, is a commutative binary operation Subtraction We have to check if a b = b a Let a = 2 , b = 5 a b = 2 5 = 3 b a = 5 2 = 3 Since a b b a Hence, is not a commutative binary operation Division : R* R* R* Here R* is all real numbers except 0 We have to check if a b = b a Let a = 2 , b = 5 a b = = 2 5 b a = = 5 2 Since a b b a Hence, is not a commutative binary operation