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):x∈A,y∈B & 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 x∈A and y∈B. Given: A={1,2,3,4} & B={1,2,3,5} For x=1 we get y=1 For x=2 we get y=2 For x=3 we get y=3 For x=4 we get y=4 ⇒4≠5 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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