# Example 38 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at July 24, 2019 by Teachoo

Last updated at July 24, 2019 by Teachoo

Transcript

Example 38 Show that zero is the identity for addition on R and 1 is the identity for multiplication on R. But there is no identity element for the operations : R R R and : R R R . Addition e is the identity of * if a * e = e * a = a i.e. a + e = e + a = a This is possible if e = 0 Since a + 0 = 0 + a = a a R 0 is the identity element for addition on R Multiplication e is the identity of * if a * e = e * a = a i.e. a e = e a = a This is possible if e = 1 Since a 1 = 1 a = a a R 1 is the identity element for multiplication on R Subtraction e is the identity of * if a * e = e * a = a i.e. a e = e a = a There is no possible value of e where a e = e a So, subtraction has no identity element in R Division e is the identity of * if a * e = e * a = a i.e. = = a There is no possible value of e where = = a So, division has no identity element in R*

Examples

Example 1

Example 2

Example 3

Example 4 Important

Example 5

Example 6 Important

Example 7

Example 8 Important

Example 9

Example 10

Example 11 Important

Example 12 Important

Example 13 Important

Example 14 Important

Example 15 Deleted for CBSE Board 2022 Exams

Example 16 Deleted for CBSE Board 2022 Exams

Example 17 Deleted for CBSE Board 2022 Exams

Example 18 Important Deleted for CBSE Board 2022 Exams

Example 19 Important Deleted for CBSE Board 2022 Exams

Example 20 Deleted for CBSE Board 2022 Exams

Example 21 Deleted for CBSE Board 2022 Exams

Example 22 Deleted for CBSE Board 2022 Exams

Example 23 Important Deleted for CBSE Board 2022 Exams

Example 24 Deleted for CBSE Board 2022 Exams

Example 25 Important Deleted for CBSE Board 2022 Exams

Example 26 Deleted for CBSE Board 2022 Exams

Example 27 Important Deleted for CBSE Board 2022 Exams

Example 28 (a) Deleted for CBSE Board 2022 Exams

Example 28 (b) Deleted for CBSE Board 2022 Exams

Example 28 (c) Deleted for CBSE Board 2022 Exams

Example 29 Deleted for CBSE Board 2022 Exams

Example 30 Deleted for CBSE Board 2022 Exams

Example 31 Important Deleted for CBSE Board 2022 Exams

Example 32 Deleted for CBSE Board 2022 Exams

Example 33 Deleted for CBSE Board 2022 Exams

Example 34 Deleted for CBSE Board 2022 Exams

Example 35 Deleted for CBSE Board 2022 Exams

Example 36 Deleted for CBSE Board 2022 Exams

Example 37 Important Deleted for CBSE Board 2022 Exams

Example 38 Deleted for CBSE Board 2022 Exams You are here

Example 39 Deleted for CBSE Board 2022 Exams

Example 40 Deleted for CBSE Board 2022 Exams

Example 41

Example 42 Important

Example 43 Important

Example 44

Example 45 (a) Deleted for CBSE Board 2022 Exams

Example 45 (b) Deleted for CBSE Board 2022 Exams

Example 46 Important Deleted for CBSE Board 2022 Exams

Example 47 Important Deleted for CBSE Board 2022 Exams

Example 48 Important Deleted for CBSE Board 2022 Exams

Example 49 Deleted for CBSE Board 2022 Exams

Example 50

Example 51 Important

Chapter 1 Class 12 Relation and Functions (Term 1)

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.