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For a in CC, let A={z in CC :Re(a+ barz)...

For `a in CC`, let `A={z in CC :Re(a+ barz) gt Im(bar a+z)} and B={z in CC:Re(a+barz) lt Im(bara+z)}` Then among the two statements:
(S1) : If Re (a). `Im (a) gt 0`, then the set A contains all the real numbers
(S2) : If Re (a). `Im (a) lt 0`, then the set B contains all the real numbers

A

both are false

B

both are true

C

only (S1) is true

D

only (S2) is true

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