Question

The locus represented by |z – 1| = |z + i| is –

• A. A circle of radius 1
• B. An ellipse with foci at (1, 0) and (0, – 1)
• C. A straight line through the origin
• D. A circle on the line joining (1, 0), (0, 1) as diameter

Answer 1

Answer: (C)

A straight line through the origin

Answer 2

Sol.

|z – 1| = |z + i|

|z – 1| = |z – (– i)|

Ž $\begin{matrix} PA = PB \end{matrix}$