The equation |Z-i|=|Z-1|, i=-1, represents:

Question

The equation $|Z-i|=|Z-1|$, $i=\sqrt{-1}$, represents:

Accepted Answer

Let the complex number z = x + iy

Now given, (x + iy) - 1, =, (x+iy) - i |

$$ \Rightarrow $$ (x - 1)2 + y2 = x2 + (y - 1)2

$$ \Rightarrow $$ x = y

$$ \therefore $$ the correct answer is option (D)

Solutions · 1