MathematicsMedium53×since 2002Q3189Let C be the set of all complex numbers. Let S₁ = {z∈\in∈C : |z −-− 2| ≤\le≤ 1} and S₂ = {z∈\in∈C : z(1 + i) + z‾\overline zz(1 −-− i) ≥\ge≥ 4}. Then, the maximum value of ∣z−52∣2{\left| {z - {5 \over 2}} \right|^2}z−252 for z∈\in∈S₁ ∩\cap∩ S₂ is equal to :A3+224{{3 + 2\sqrt 2 } \over 4}43+22B5+222{{5 + 2\sqrt 2 } \over 2}25+22C3+222{{3 + 2\sqrt 2 } \over 2}23+22D5+224{{5 + 2\sqrt 2 } \over 4}45+22Check answerSkip