Question:
Choose the most appropriate options.
If \( |z^2 - 1| = |z|^2 + 1 \), then \( z \) lies on a
Choose the most appropriate options.
If \( |z^2 - 1| = |z|^2 + 1 \), then \( z \) lies on a
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Understanding the geometric meaning of complex number equations can often reveal surprising results.
Updated On: Apr 1, 2025
Circle
- Parabola
Ellipse
None of these
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The Correct Option is D
Solution and Explanation
The equation \( |z^2 - 1| = |z|^2 + 1 \) does not represent a standard geometric figure like a circle, parabola, or ellipse.
Thus, the answer is "None of these."
Thus, the answer is "None of these."
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