A) A straight line
B) A parabola
C) An ellipse
D) A circle
Correct Answer: A
Solution :
\[\left| \,\frac{z}{z-\frac{i}{3}}\, \right|=1\Rightarrow |z|=\left| \,z-\frac{i}{3}\, \right|\] Clearly locus of z is perpendicular bisector of line joining points having complex number \[0+i0\] and \[0+\frac{i}{3}\]. Hence z lies on a straight line.You need to login to perform this action.
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