Last updated at Jan. 28, 2020 by Teachoo

Transcript

Example 8 The figure shows a relation between the sets P and Q. Write this relation in set-builder form Note that (3)2 = 9 (–3)2 = 9 (2)2 = 4 (–2)2 = 4 (5)2 = 25 (–5)2 = 25 Let the elements of set P can be denoted by x , i.e. x ∈ P & the elements of set Q can be denoted by y , i.e. y ∈ Q Hence we can say that y2 = x ⇒ x = y2 ∴ R = {(x, y): x = y2, x ∈ P & y ∈ Q} Example 8 The figure shows a relation between the sets P and Q. Write this relation (ii) in roster form. What is its domain and range? In roster form Relation R = {(9, 3), (9, −3), (4, 2), (4, −2), (25, 5) (25, −5)} Domain = Set of first elements of Relation = {9, 4, 25} Range = Set of second elements of Relation = {3, −3, 2, −2, 5, −5}

Finding Relation - Arrow Depiction given

Chapter 2 Class 11 Relations and Functions

Concept wise

- Finding Cartesian Product
- Equality of 2 ordered pairs
- Number of elements
- Operations on sets+ cartesian product
- Relations - Definition
- Finding Relation - Set-builder form given
- Finding Relation - Arrow Depiction given
- Number of Relations
- Functions - Definition
- Finding values at certain points
- Different Functions and their graphs
- Finding Domain and Range - By drawing graphs
- Finding Domain and Range - General Method
- Algebra of real functions

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.