Let A = z C:1 ≤ |z - (1 + i)| ≤ 2 and B = z A:|z - (1 - i)| = 1. Then, B:

(B) contains exactly two elements

(C) contains exactly three elements

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q3261

JEE Main 202224 Jun, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

A = \{ z \in C:1 \le |z - (1 + i)| \le 2\}

and

B = \{ z \in A:|z - (1 - i)| = 1\}

. Then, B :

JEE Main 2022 · 24 Jun, Morning shift · Q3261

JEE Main 202224 Jun, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

A = \{ z \in C:1 \le |z - (1 + i)| \le 2\}

and

B = \{ z \in A:|z - (1 - i)| = 1\}

. Then, B :