Let \(N\) be the set of natural numbers and a relation \(R\) on \(N\) be defined by \(R=\left\{(x, y) \in N \times N: x^…

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

[JEE Main 2021, 27 Jul (Shift 2)]