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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)

JEE · Math · previous-year question

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

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