Q52.Let z = x + iy be a non-zero complex number such that z2 = i|z|2 , where i = √−1, then z lies on the : (1) line, y = −x (2) imaginary axis (3) line, y = x (4) real axis
What This Question Tests
This question requires substituting the rectangular form of a complex number into the given equation and then equating real and imaginary parts to find the locus of the complex number.
Concepts Tested
Formulas Used
z = x+iy
z² = (x+iy)²
|z|² = x²+y²
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of complex numbers
- Year
- 2020
- Shift
- 06 Sep Shift 2
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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