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JEE Math Practice Question

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

  1. A.is an empty set
  2. B.contains exactly two elements
  3. C.contains exactly three elements
  4. D.is an infinite set

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