The locus represented by \[|z-1|=|z+i|\] is [EAMCET 1991]

1.	The locus represented by \[\|z-1\|=\|z+i\|\] is [EAMCET 1991]
A.	A circle of radius 1
B.	An ellipse with foci at \[(1,\,0)\] and (0, - 1)
C.	A straight line through the origin
D.	A circle on the line joining \[(1,\,0),(0,\,1)\] as diameter
Answer» D. A circle on the line joining \[(1,\,0),(0,\,1)\] as diameter

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The locus represented by \[|z-1|=|z+i|\] is [EAMCET 1991]

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