Let S₁, S₂ and S₃ be three sets defined as S₁ = z C: |z - 1| ≤ 2 S₂ = z C: Re((1 - i)z) ≥ 1 S₃ = z C: Im(z) ≤ 1 Then the set S₁ S₂ S₃:

(C) has infinitely many elements

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 17 Mar, Evening shift · Q3186

JEE Main 202117 Mar, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let S₁, S₂ and S₃ be three sets defined as S₁ = {z

\in

C : |z

-

\le

\sqrt 2

} S₂ = {z

\in

C : Re((1

-

i)z)

\ge

1} S₃ = {z

\in

C : Im(z)

\le

1} Then the set S₁

\cap

S₂

\cap

S₃ :