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

Question

Let A = z ∈ C: 1 ≤| z -(1+ i )| ≤ 2 and B = z ∈ A :| z -(1- i )|=1 . Then, B : (A) is an empty set (B) contains exactly two elements (C) contains exactly three elements (D) is an infinite set

Tardigrade Admin · Accepted Answer

A = z ∈ C: 1 ≤| z -(1+ i )| ≤ 2 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/88df91007d2edc070000514b0e8e7c68-.png" /> B = z ∈ A :| z -(1- i )|=1 A ∩ B has infinite set.

Q. Let $A = {z \in C : 1 \leq ∣ z - (1 + i) ∣ \leq 2}$ and $B = {z \in A : ∣ z - (1 - i) ∣ = 1} .$ Then, $B :$

is an empty set

contains exactly two elements

contains exactly three elements

is an infinite set

$A = {z \in C : 1 \leq ∣ z - (1 + i) ∣ \leq 2}$

$B = {z \in A : ∣ z - (1 - i) ∣ = 1}$
$A \cap B$ has infinite set.

Q. Let A={z∈C:1≤∣z−(1+i)∣≤2} and B={z∈A:∣z−(1−i)∣=1}. Then, B: