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JEE Main Math Class 11 Complex Numbers and Quadratic Equations Part 3 Questions

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Question : 13

Total: 100

For a∈C, let A={z∈C:Re(a+z)>Im(a+z)} and B={z∈C:Re(a+z)<Im(a+z)}. The 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,

[11-Apr-2023 shift 2]

only (S1) is true
both are false
only (S2) is true
both are true

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