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Let \( \mathrm{N} \) be the set of natural numbers and a relation \( \mathrm{R} \) on \( \mathrm{N} \) be defined by \( R=\left\{\begin{array}{l}(x, y) \in N \times N: \\ x^{3}-3 x^{2} y-x y^{2}+3 y^{3}=0\end{array}\right\} \). Then
W. the relation \( \mathrm{R} \) 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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