JEE Math Practice Question

Among the relations $\mathrm{S}=\left\{(\mathrm{a}, \mathrm{b}): \mathrm{a}, \mathrm{b} \in \mathbb{R}-\{0\}, 2+\frac{\mathrm{a}}{\mathrm{b}}>0\right\}$ and $\mathrm{T}=\left\{(\mathrm{a}, \mathrm{b}): \mathrm{a}, \mathrm{b} \in \mathbb{R}, \mathrm{a}^{2}-\mathrm{b}^{2} \in \mathbb{Z}\right\}$,

1. A.$\mathrm{S}$ is transitive but $\mathrm{T}$ is not
2. B.both $\mathrm{S}$ and $\mathrm{T}$ are symmetric
3. C.neither $S$ nor $T$ is transitive
4. D.$T$ is symmetric but $S$ is not