Q52.The region represented by {z = x + iy ∈C : |z|−Re (z) ≤1} is also given by the inequality (1) y2 ≥2(x + 1) (2) y2 ≤2(x + 12 ) (3) y2 ≤(x + 12 ) (4) y2 ≥x + 1
What This Question Tests
This question requires converting an inequality involving complex numbers into its equivalent Cartesian form to identify the geometric region it represents, which turns out to be a parabola.
Concepts Tested
Formulas Used
|z| = √(x² + y²)
Re(z) = x
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric representation of complex numbers
- Year
- 2020
- Shift
- 06 Sep Shift 1
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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