Q.

The locus of the point z=x+i y  satisfying the equation z−1z+1=1  is given by

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a

x=0

b

y=0

c

x=y

d

x+y=0

answer is A.

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x=0
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The locus of the point z=x+i y  satisfying the equation z−1z+1=1  is given by