A) a ellipse
B) a circle
C) a straight line
D) a parabola
Correct Answer: C
Solution :
Given,\[w=\frac{z}{z-\frac{i}{3}}\]and\[|w|=1\] \[\left| \frac{z}{z-\frac{i}{3}} \right|=1\Rightarrow |z|=\left| z-\frac{i}{3} \right|\] z lies on the perpendicular bisector of the line joining the points (0, 0) and (0, 1/3). So, z lies on a line.You need to login to perform this action.
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