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Solution


Q.

For a∈ℂ, let A={z∈ℂ:Re(a+z¯)>Im(a¯+z)} and B={z∈ℂ:Re(a+z¯)<Im(a¯+z)}. Then among the two statements:

(S1) : If Re (a), Im (a) > 0, then the set A contains all the real numbers

(S2) : If Re (a), Im (a) < 0, then the set B contains all the real numbers,

(a) only (S2) is true                                  (b) both are true

(c) only (S1) is true                                  (d) both are false

Ans.

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