MCQ
The equation $\left| {z - i} \right| = \left| {z - 1} \right|,i = \sqrt { - 1} $, represents
- Aa circle of radius $\frac{1}{2}$
- ✓the line through the origin with slope $1$
- Ca circle of radius $1$
- Dthe line through the origin with slope $-1$
✓
Answer
Correct option: B.
the line through the origin with slope $1$
b
$\left| {z - i} \right| = \left| {z - 1} \right|$
$\left| {z - i} \right| = \left| {z - 1} \right|$
gives $y = x$
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