# Example 29 - Chapter 1 Class 12 Relation and Functions

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 29 Show that addition, subtraction and multiplication are binary operations on R, but division is not a binary operation on R. Further, show that division is a binary operation on the set R of nonzero real numbers. Addition + : R R R where (a, b) a + b For every real number a & b, a + b is also a real number. Hence, + is a binary operation on R Subtraction : R R R where (a, b) a b For every real number a & b, a b is also a real number. Hence, is a binary operation on R Multiplication : R R R where (a, b) a b For every real number a & b, a b is also a real number. Hence, is a binary operation on R Division : R R R where (a, b) a b Here, a & b are real numbers a b = Let a = 2 & b = 0 = = Not defined Hence, is not a binary operation on R Further, show that division is a binary operation on the set R of nonzero real numbers. : R* R * R * where (a, b) a b For every non-zero real number a & b, a b is also a non-zero real number. Hence, is a binary operation on R*

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Chapter 1 Class 12 Relation and Functions

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.