Let N be the set of natural numbers and a relation R on N be defined by R={[ (x, y) ∈ N...

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Let N be the set of natural numbers and a relation R on
N be defined by R={[ (x, y) ∈ N × N:; x^3-3 x^2 y-x y^2+3 y^3=0 ]}. Then
3 the relation R is :
(a) symmetric but neither reflexive nor transitive
(b) reflexive but neither symmetric nor transitive
(c) reflexive and symmetric, but not transitive
(d) an equivalence relation

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