For a ∈ C, let A=\{z ∈ C: {\Re}(a+\ov{z}) {\Im}(\ov{a}+z)\} and B=\{z ∈ C: {\Re}(a+\ov{z}) 0, then the set A contains all the real numbers(S2) : If {\Re}( {\a}), {\Im}( {\a})

Question

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

Examsnet · Accepted Answer

Correct Answer is :  both are false

JEE Mains 11-Apr-2023 Shift 2 Solved Paper