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The locus of a point on the argand plane...

The locus of a point on the argand plane represented by the complex number z, when z satisfies the condition
`|{:(z-1+i)/(z+1-i):}|=|Re((z-1+i)/(z+1-i))|` is

A

A straight line that does not contain the point (-1+i)

B

A circle that does not contain the point (-1+i)

C

A parabola that does not contain the point (-1+i)

D

A hyperbola that does not contain the point (-1+i)

Text Solution

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The correct Answer is:
A
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