Subscribe to our Youtube Channel - https://www.youtube.com/channel/UCZBx269Tl5Os5NHlSbVX4Kg
Example 38 - Chapter 1 Class 12 Relation and Functions
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
Example 9
Example 10
Example 11 Important
Example 12 Important
Example 13 Important
Example 14 Important
Example 15
Example 16
Example 17
Example 18 Important
Example 19 Important
Example 20
Example 21
Example 22
Example 23 Important
Example 24
Example 25 Important
Example 26
Example 27 Important
Example 28
Example 29
Example 30
Example 31
Example 32
Example 33
Example 34
Example 35
Example 36
Example 37
Example 38 You are here
Example 39
Example 40
Example 41 Important
Example 42 Important
Example 43 Important
Example 44
Example 45 Important
Example 46 Important
Example 47 Important
Example 48 Important
Example 49
Example 50
Example 51 Important
Chapter 1 Class 12 Relation and Functions
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 9 years. He provides courses for Maths and Science at Teachoo.