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Question

If a relation R defined on A={1,3,5,7}, then which of the following is/are void relation?

A
R={(a,b):a+b=8:a,bA}
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B
R={(a,b):2a+b=10:a,bA}
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C
R={(a,b):2ab=30:a,bA}
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D
R={(a,b):a+b=11:a,bA}
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Solution

The correct option is D R={(a,b):a+b=11:a,bA}
R={(a,b):a+b=8:a,bA}
R={(1,7),(3,5),(5,3),(7,1)}
It is not a void relation.

R={(a,b):2a+b=10:a,bA}
Here 2a is even and b is odd
2a+b can never be even.
It is a void relation.

R={(a,b):2ab=30:a,bA}
R={(3,5),(5,3)}
It is not a void relation.

R={(a,b):a+b=11:a,bA}
Here a and b is odd
a+b can never be odd.
It is a void relation.

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