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Mathematics
Mathematics
Problem
If
ω
=
z
z
−
1
3
i
\omega = \frac{z}{z - \frac{1}{3}i}
ω
=
z
−
3
1
i
z
and
∣
ω
∣
=
1
|\omega| = 1
∣
ω
∣
=
1
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, then
z
z
z
lies on a. a straight line b. a parabola c. an ellipse d. a circle
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