Let C be the set of all complex numbers. Let S₁ = \ z C||z - 3 - 2i |² = 8\ S₂ = \ z C| Re (z) ≥ 5\ and S₃ = z C||z - z | ≥ 8. Then the number of elements in S₁ S₂ S₃ is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Morning shift · Q3190

JEE Main 202127 Jul, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :

JEE Main 2021 · 27 Jul, Morning shift · Q3190

JEE Main 202127 Jul, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :