Q62.Let A = {z ∈C : 1 ⩽|z −(1 + i)| ⩽2} and B = {z ∈A : |z −(1 −i)| = 1} . Then, B (1) is an empty set (2) contains exactly two elements (3) contains exactly three elements (4) is an infinite set
What This Question Tests
This question tests the geometric interpretation of complex numbers to define regions (annulus and circle) and then find the nature of their intersection, requiring visualization in the complex plane.
Concepts Tested
Formulas Used
|z - z₀| = r (circle with center z₀, radius r)
|z - z₀| ≤ r (disk)
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric interpretation of complex numbers
- Year
- 2022
- Shift
- 24 Jun Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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