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Question

The locus of the point z=x+iy satisfying the equation z1z+1=1 is given by?

A
x=0
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B
y=0
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C
x=y
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D
x+y=0
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Solution

The correct option is B x=0
z1z+1=1
z1z+1=1
|z1|=|z+1|
i.e. lie on the bisector the line joining (1,0) & (-1,0)
i.e the y axis
2 lies on x=0.

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