Question

Let A={1,2,3} then the domain of relation R={(1,1),(2,3),(2,1) defined on A is

Answer 1

Explanation:

domain of relation R is (1,2) and co domain is (1,3)

Answer 2

Solution : The domain of the relation R = {(1,1),(2,3),(2,1)} defined is {1,2}

• A relation in defined as the relationship between two or more sets
• It is a subset of the cartesian product
• Cartesian product is defined as A × B from set A to set B as (x , y) where x belongs to A and y belongs to B , such pair (x , y) is defined as ordered pair
• The set which contains all the first element of all the ordered pairs of relation R is called the domain of the relation
• Here the ordered pair is given as {(1,1),(2,3),(2,1)} and the first element of each ordered pair is {1 , 2}
• So {1 , 2} is the domain of the given relation.

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