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

1. A
   Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
2. B
   Statement-1 is true, Statement-2 is false.
3. C
   Statement-1 is false, Statement-2 is true.
4. D
   Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1