For any relation R between the two sets A,B given as: R={(1,1),(2,4),(3,9),(4,16)}. Select the set builder representation of the given relation.
A
R={(a,b):a∈A,b∈B,b=a3}
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B
R={(a,b):a∈A,b∈B,b=2a2}
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C
R={(a,b):a∈A,b∈B,b=a2}
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D
R={(a,b):a∈A,b∈B,b=a}
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Solution
The correct option is CR={(a,b):a∈A,b∈B,b=a2} Given the relation between the sets A&B as: R={(1,1),(2,4),(3,9),(4,16)}
Clearly, the second term is the square of the first term in the given relation:
Thus, the relation: R={(a,b):a∈A,b∈B,b=a2} is the correct set builder representation of the given relation.