Answer: Real axis (y=0).
- A Circle
- B Imaginary axis
- C Real axis (y=0)
- D Parabola
Correct answer: C. Real axis (y=0)
Explanation: |z-i| = |z+i| means equidistant from i and -i. The perpendicular bisector of the segment from -i to i is the real axis (y = 0).
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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