The equation | z – i | = | z – 1 |, i = \sqrt{- 1} , represents

Engineering

Mathematics

Geometry of Complex Number

Question

The equation | z – i | = | z – 1 |, $i = \sqrt{- 1}$ , represents

a circle of radius 1

a circle of radius $\frac{1}{2}$

the line through the origin with slope –1

the line through the origin with slope 1

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|z– i| = |z – 1|

Gives y = x