Let $R$ be a relation on $\mathbb{R}$, given by $R = \{(a, b) : 3a - 3b + \sqrt{7}$ is an irrational number$\}$. Then $R$ is\\
(1) Reflexive but neither symmetric nor transitive\\
(2) Reflexive and transitive but not symmetric\\
(3) Reflexive and symmetric but not transitive\\
(4) An equivalence relation