Let A be the set of first ten natural numbers and let R be a relation in A defined by if and only if x+2y=10 Which of the following is false?

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R={(2,4),(4,3),(6,2),(8,1)}

Domain of R={2,4,6,8}

Range of R={1,2,3,4}

Atleast one is false

answer is D.

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Detailed Solution

We have,R={(x,y):x,y∈N,x+2y=10,1≤x,y≤10}x+2y=10⇒y=10-x2R={(2,4),(4,3),(6,2)(8,1)}Domain of R={x:(x,y)∈R={2,4,6,8}Range of R={y:(x,y)∈R}={4,3,2,1}

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