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JEE Math Practice Question

Let C be the set of all complex numbers. Let $${S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\} $$ $${S_2} = \{ z \in C|{\mathop{\rm Re}\nolimits} (z) \ge 5\} $$ 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 :

  1. A.1
  2. B.0
  3. C.2
  4. D.Infinite

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