1. Chapter 1 Class 12 Relation and Functions
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Question 12 - Examples - Chapter 1 Class 12 Relation and Functions

Last updated at Dec. 16, 2024 by Teachoo

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Question 12 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*

  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise

    3. Examples

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Chapter 1 Class 12 Relation and Functions
Serial order wise

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Davneet Singh

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