Find the smallest relation containing the relation {(1, 2), (1, 4), (3, 3), (4, 1)} that is

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Find the smallest relation containing the relation {(1, 2), (1, 4), (3, 3), (4, 1)} that is
a) Reflexive and transitive.
b) Symmetric and transitive.
c) Reflexive, symmetric, and transitive.
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