Jee Main
Complex Numbers
JEE Main 2021 (Online) 27th July Evening Shift
MCQ+4 / -12021
Let 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) + \(\overline z\)(1 \(-\) i) \(\ge\) 4}.
Then, the maximum value of \({\left| {z - {5 \over 2}} \right|^2}\) for z\(\in\)S1 \(\cap\) S2 is equal to :
S1 = {z\(\in\)C : |z \(-\) 2| \(\le\) 1} and
S2 = {z\(\in\)C : z(1 + i) + \(\overline z\)(1 \(-\) i) \(\ge\) 4}.
Then, the maximum value of \({\left| {z - {5 \over 2}} \right|^2}\) for z\(\in\)S1 \(\cap\) S2 is equal to :