JEE Mains · Maths · STD 11 - 4.1 complex nubers
Let \(A=\{z \in C: 1 \leq 1 z-(1+i) \leq 2\}\) and \(B=\{z \in A:|z-(1-i)|=1\}\). Then, \(B\)
- A is an empty set
- B contains exactly two elements
- C contains exactly three elements
- D is an infinite set
Answer & Solution
Correct Answer
(D) is an infinite set
Step-by-step Solution
Detailed explanation
\(A=\{z \in C: 1 \leq z-(1+i) \leq 2\}\) \(B=\{z \in A:|z-(1-i)|=1\}\) \(A \cap B\) has infinite set
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