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…

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)]