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

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

JEE MainJEE Main 2022Complex Numbers and Quadratic Equations

Solution:

$A =\{ z \in C : 1 \leq| z -(1+ i )| \leq 2\}$
image
$B =\{ z \in A :| z -(1- i )|=1\} $
$A \cap B$ has infinite set.