Mathematics - Complex Number Question with Solution | TestHub

Paragraph:Let $A,B,C$ be three sets of complex numbers as defined below. $A=\{z;\mathrm{lm}z\ge 1\};B=\{z:|z-2-i|=3\};C=\{z:\mathrm{Re}((1-i)z)=\sqrt{2}\}$.Question:Let $z$ be any point in $A\cap B\cap C$. The $|z+1-i{|}^2+|z-5-i{|}^2$ lies between