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If z lies on the circle I z l = 1, then ...

If z lies on the circle I z l = 1, then 2/z lies on

A

a circle

B

an ellipse

C

a straight line

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
A
Let `omega=2//z`. Then, `|omega|=|2/z|=2/(|z|)=2/1=2`
This show that `omega` lies on a circle with center at the origin and radius 2 units.
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