Q62.Let α and β be the sum and the product of all the non-zero solutions of the equation (¯z)2 + |z| = 0, z ∈ C. Then 4 (α2 + β2) is equal to : (1) 6 (2) 8 (3) 2 (4) 4
What This Question Tests
This question tests the ability to solve a complex equation by converting it into rectangular form and handling the modulus and conjugate properties to find valid solutions.
Concepts Tested
Formulas Used
z = x + iy
z̄ = x - iy
|z| = √(x² + y²)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties and equations of complex numbers
- Year
- 2024
- Shift
- 04 Apr Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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