If \[w=\frac{z}{z-\frac{1}{3}i}\] and \[|w|=1\], then z lies on [AIEEE 2005]

If \[w=\frac{z}{z-\frac{1}{3}i}\] and \[|w|=1\], then z lies on [AIEEE

1.	If \[w=\frac{z}{z-\frac{1}{3}i}\] and \[\|w\|=1\], then z lies on [AIEEE 2005]
A.	A straight line
B.	A parabola
C.	An ellipse
D.	A circle
Answer» B. A parabola

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If \[w=\frac{z}{z-\frac{1}{3}i}\] and \[|w|=1\], then z lies on [AIEEE 2005]

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