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Correct option is
C). An equivalence relation
Step-by-step explanation
Given Relation
R={(1,1),(2,2),(3,3)}
Reflexive: If a relation has {(a,b)} as its element, then it should also have {(a,a),(b,b)} as its elements too.
Symmetric: If a relation has (a,b) as its element, then it should also have {(b,a)} as its element too.
Transitive: If a relation has {(a,b),(b,c)} as its elements, then it should also have {(a,c)} as its element too.
Now, the given relation satisfies all these three properties.
Therefore, its an equivalence relation.
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