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Question

If Amp (z1z+1)=π3, then Z represents a point on

A
Straight Line
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B
Circle
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C
Ellipse
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D
Parabola
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Solution

The correct option is B Circle

Solution: argz1z+1=π3
arg(z1)arg(z+1)=π3
tan1(yx1)tan1(yx+1)=π3
tan1y{1x11x+1}1+y2x21=π3
tan12yx2+y21=π3
x2+y21=2y3
Which is equation of circle.Answer B.

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