Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month
Example 49 - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at May 29, 2018 by Teachoo
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
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 (a)
Example 28 (b)
Example 28 (c)
Example 29 Deleted for CBSE Board 2023 Exams
Example 30 Deleted for CBSE Board 2023 Exams
Example 31 Important Deleted for CBSE Board 2023 Exams
Example 32 Deleted for CBSE Board 2023 Exams
Example 33 Deleted for CBSE Board 2023 Exams
Example 34 Deleted for CBSE Board 2023 Exams
Example 35 Deleted for CBSE Board 2023 Exams
Example 36 Deleted for CBSE Board 2023 Exams
Example 37 Important Deleted for CBSE Board 2023 Exams
Example 38 Deleted for CBSE Board 2023 Exams
Example 39 Deleted for CBSE Board 2023 Exams
Example 40 Deleted for CBSE Board 2023 Exams
Example 41
Example 42 Important
Example 43 Important
Example 44
Example 45 (a) Deleted for CBSE Board 2023 Exams
Example 45 (b) Deleted for CBSE Board 2023 Exams
Example 46 Important
Example 47 Important
Example 48 Important
Example 49 You are here
Example 50
Example 51 Important
Chapter 1 Class 12 Relation and Functions
Serial order wise
Transcript
Example 49 Show that the number of binary operations on {1, 2} having 1 as identity and having 2 as the inverse of 2 is exactly one. Given that 1 is identity e is the identity of * if a * e = e * a = a So, a * 1 = 1 * a = a Put a = 1 1 * 1 = 1 Put a = 2 1 * 2 = 2 * 1 = 1 Also, Given that 2 is inverse of 2 b is the inverse of a if a * b = b * a = e Here, e = 1 & a = 2, b = 2 So, 2 * 2 = 2 * 2 = 1 Hence, there is only 1 binary operation which satisfies the given conditions
