Last updated at March 8, 2017 by Teachoo

Transcript

Ex 2.2,1 Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range. It is given that 3x – y = 0 ⇒ 3x = 0 + y ⇒ 3x = y ⇒ y = 3x R = {(1, 3), (2, 6), (3, 9), (4, 12)} Domain of R = Set of all first elements of the ordered pairs in the relation. = {1, 2, 3, 4} Range of R = Set of all second elements of the ordered pairs in the relation. = {3, 6, 9, 12} Codomain R is defined from A to A ∴ Codomain of R = A = {1, 2, 3, …, 14}

Chapter 2 Class 11 Relations and Functions

Class 11

Important Question for exams Class 11

- Chapter 1 Class 11 Sets
- Chapter 2 Class 11 Relations and Functions
- Chapter 3 Class 11 Trigonometric Functions
- Chapter 4 Class 11 Mathematical Induction
- Chapter 5 Class 11 Complex Numbers
- Chapter 6 Class 11 Linear Inequalities
- Chapter 7 Class 11 Permutations and Combinations
- Chapter 8 Class 11 Binomial Theorem
- Chapter 9 Class 11 Sequences and Series
- Chapter 10 Class 11 Straight Lines
- Chapter 11 Class 11 Conic Sections
- Chapter 12 Class 11 Introduction to Three Dimensional Geometry
- Chapter 13 Class 11 Limits and Derivatives
- Chapter 14 Class 11 Mathematical Reasoning
- Chapter 15 Class 11 Statistics
- Chapter 16 Class 11 Probability

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.