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 :

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 :

Infinite

Solution

Please login to view the detailed solution steps...

Go to DASH