MathematicsMedium58×since 2004Q5383For α∈N\alpha \in \mathbf{N}α∈N, consider a relation R\mathrm{R}R on N\mathbf{N}N given by R={(x,y):3x+αy\mathrm{R}=\{(x, y): 3 x+\alpha yR={(x,y):3x+αy is a multiple of 7}\}}. The relation RRR is an equivalence relation if and only if :Aα=14\alpha=14α=14Bα\alphaα is a multiple of 4C4 is the remainder when α\alphaα is divided by 10D4 is the remainder when α\alphaα is divided by 7Check answerSkip