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Question

Which of following options is the correct representation of relation from set A to set B?
A={1,2,3,4} & B={1,2,3,5}R={(x,y):xA,yB & x=y}

A
{(1,1),(2,2),(3,3)
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B
{(1,2),(2,3),(3,4)
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C
{(1,1),(2,2),(3,3),(4,4)
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Solution

The correct option is A {(1,1),(2,2),(3,3)
Given: The Relation from set A to set B is represented by Relation R.

Relation R represent a straight line y=x where xA and yB.

Given: A={1,2,3,4} & B={1,2,3,5}
  1. For x=1 we get y=1
  2. For x=2 we get y=2
  3. For x=3 we get y=3
  4. For x=4 we get y=4 45
The last value from set A does not map with last value of set B
So, the ordered pair we get are (1,1),(2,2),(3,3).

Collection of ordered pairs is a relation.
Here R:{(1,1),(2,2),(3,3)}

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