JEE Math Practice Question

For $$a \in \mathbb{C}$$, let $$\mathrm{A}=\{z \in \mathbb{C}: \operatorname{Re}(a+\bar{z}) > \operatorname{Im}(\bar{a}+z)\}$$ and $$\mathrm{B}=\{z \in \mathbb{C}: \operatorname{Re}(a+\bar{z}) (S1): If $$Re(a), Im(a) > 0$$, then the set A contains all the real numbers(S2) : If $$Re(a), Im(a)

1. A.both are false
2. B.only (S1) is true
3. C.only (S2) is true
4. D.both are true