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