Question

If \( z = x + iy \) is a complex number such that \( |z - 1| = |z + 1| \), then the locus of \( z \) represents:

• A. A circle with center at origin
• B. The real axis
• C. The imaginary axis
• D. A line parallel to the x-axis

Hint:

\textbf{Tip:} When the modulus of distances from two points is equal, the locus is the perpendicular bisector of the segment joining them.