Q81.Sum of squares of modulus of all the complex numbers z satisfying z = iz2 + z2 −z is equal to
What This Question Tests
This problem involves solving a complex equation by using properties of modulus and complex conjugates, leading to algebraic manipulation and identifying possible solutions for z.
Concepts Tested
Formulas Used
|z|^2 = z * z̄
|z1 z2| = |z1| |z2|
z + z̄ = 2 Re(z)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Modulus of complex numbers
- Year
- 2022
- Shift
- 28 Jun Shift 2
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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