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Question

If |z|=2, then the points representing the complex numbers -1+5z will lie on a


A

Circle

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B

Straight line

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C

Parabola

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D

None of these

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Solution

The correct option is A

Circle


Let ω=-1+5z, then ω+1=5z

|ω+1|=5|z|=5*2=10

(|z|=2, Given vlaue)

Thus ω lies on a circle.


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