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Questions  

If ω=2,  then the set of points x+iy=ω-1ω lie on

a
circle
b
ellipse
c
parabola
d
hyperbola

detailed solution

Correct option is B

|ω|=2⇒ω=2eiθ=2(cos⁡θ+isin⁡θ)⇒ x+iy=ω−1ω=2eiθ−12e−iθ⇒ x=32cos⁡θ,y=52sin⁡θ⇒x29/4+y225/4=1which represents an ellipse.

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