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Ex 2.2, 9 - Chapter 2 Class 11 Relations and Functions
Last updated at Dec. 13, 2024 by Teachoo
Finding Relation - Set-builder form 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
Transcript
Ex 2.2, 9 Let R be the relation on Z defined by R = {(a, b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R. Given a, b are integers, i.e. a, b ∈ Z As difference of integers are integers, a – b is an also integer ∴ Domain of R = Set of all first elements in the relation = Values of ‘a’ which are in the relation = Z i.e. integers Range of R = Set of all second elements in the relation = Values of ‘b’ which are in the relation = Z i.e. integers
