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Complex Numbers question

2021 · 27 Jul · Shift 1 · Q26

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JEE Main
Mathematics
Complex Numbers
2021 · 27 Jul · Shift 1 · Q26

Complex Numbers question

2021 · 27 Jul · Shift 1 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let C be the set of all complex numbers. Let

{S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\}

{S_2} = \{ z \in C|{\mathop{\rm Re} olimits} (z) \ge 5\}

and

{S_3} = \{ z \in C||z - \overline z | \ge 8\}

. Then the number of elements in

{S_1} \cap {S_2} \cap {S_3}

is equal to :

A
1
B
0
C
2
D
Infinite

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