Jee Main
Complex Numbers
JEE Main 2021 (Online) 27th July Morning Shift
MCQ+4 / -12021
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 :
\({S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\}\)
\({S_2} = \{ z \in C|{\mathop{\rm Re}\nolimits} (z) \ge 5\}\) 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 :