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Complex Numbers question

2021 · 27 Jul · Shift 2 · Q26

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JEE Main
Mathematics
Complex Numbers
2021 · 27 Jul · Shift 2 · Q26

Complex Numbers question

2021 · 27 Jul · Shift 2 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1

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 :

A
${{3 + 2\sqrt 2 } \over 4}$
B
${{5 + 2\sqrt 2 } \over 2}$
C
${{3 + 2\sqrt 2 } \over 2}$
D
${{5 + 2\sqrt 2 } \over 4}$

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