1.

Let C be the set of all complex numbers. LetS1={z∈C:|z−2|≤1} and S2={z∈C:z(1+i)+¯z(1−i)≥4}. Then the maximum value of ∣∣∣z−52∣∣∣2 for z∈S1∩S2 is equal to

Answer»

Let C be the set of all complex numbers. Let

S1={zC:|z2|1} and

S2={zC:z(1+i)+¯z(1i)4}. Then the maximum value of z522 for zS1S2 is equal to



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