Let R be the set of real numbers <br> Statement-1 : $A = \{ (x,y) \in R \times R : y - x$ is an integer $\}$ is an equivalence relation on R. <br> Statement-2 : B = $\{ (x,y) \in R \times R : x = \alpha y$ for some rational number $\alpha \}$ is an equivalence relation on R.

Question

( A ) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
( B ) Statement-1 is true, Statement-2 is false.
( C ) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
( D ) Statement-1 is false, Statement-2 is true.