Straight LineHard
Question
If ω = 
and |ω| = 1, then z lies on
and |ω| = 1, then z lies onOptions
A.an ellipse
B.a circle
C.a straight line
D.a parabola.
Solution
As given w = 
⇒ |w| = 
= 1 ⇒ distance of z from origin and point 
is same hence z lies on bisector of the line joining points (0, 0) and (0, 1/3).
Hence z lies on a straight line.
⇒ |w| = = 1 ⇒ distance of z from origin and point is same hence z lies on bisector of the line joining points (0, 0) and (0, 1/3).Hence z lies on a straight line.
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