Q62.Let (z) represent the principal argument of the complex number z. The, |z| = 3 and arg(z −1) −arg(z + 1) = π4 intersect: (1) Exactly at one point (2) Exactly at two points (3) Nowhere (4) At infinitely many points.
What This Question Tests
This question requires interpreting geometric conditions in the complex plane, specifically a circle for |z| and an arc of a circle for the argument condition, to find the number of intersection points.
Concepts Tested
Formulas Used
|z| = r
arg(z1) - arg(z2) = angle between vectors
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric interpretation of complex numbers
- Year
- 2022
- Shift
- 29 Jun Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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