A) A circle
B) An ellipse
C) A straight line
D) A parabola
Correct Answer: C
Solution :
\[\left| \frac{z-1}{z-i} \right|=1\]Þ \[|z-1|\,=\,|z-i|\] Þ\[|(x-1)+iy|\,=\,|x+i(y-1)|\] Þ \[\sqrt{{{(x-1)}^{2}}+{{y}^{2}}}=\sqrt{{{x}^{2}}+{{(y-1)}^{2}}}\] Þ \[2x=2y\]or \[x-y=0\] Which is the equation of a straight line.You need to login to perform this action.
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