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Question

A relation defined from A={0,1,2,3,4} to N as xRy iff x=y. Then which among the following options is correct

A
R1 is a function with range as A
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B
R is a function with range as N
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C
R is a function with range as {1,2,3,4}
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D
R is not a function
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Solution

The correct option is D R is not a function
Here R={(1,1),(2,2),(3,3),(4,4)}
As 0A but doesn't have any image in N
So, it is not a function

HereR1={(1,1),(2,2),(3,3),(4,4)}
As 5N but doesn't have any image in A
So, it is not a function

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