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If |z| = 1, then the point representing the complex number -1 +3z will lie on

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If |z| = 1, then the point representing the complex number -1 +3z will lie on 

(1) a circle 

(2) a st. line 

(3) parabola 

(4) hyperbola

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1 Answer

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Best answer

Correct option is (1) a circle 

Explanation:

|z| = 1, let t = -1 + 3z 

t + 1 = 3z

|t +1| = 3|z| = 3

t lies on a circle centre at -1 and radius equal to 1

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