If \[z=x+iy\] is a complex number satisfying \[{{\left| z+\frac{i}{2} \right|}^{2}}=\] \[\,\,{{\left| z-\frac{i}{2} \right|}^{2}},\] then the locus of z is [EAMCET 2002]

If \[z=x+iy\] is a complex number satisfying \[{{\left| z+\frac{i}{2}

1.	If \[z=x+iy\] is a complex number satisfying \[{{\left\| z+\frac{i}{2} \right\|}^{2}}=\] \[\,\,{{\left\| z-\frac{i}{2} \right\|}^{2}},\] then the locus of z is [EAMCET 2002]
A.	\[2y=x\]
B.	\[y=x\]
C.	y-axis
D.	x-axis
Answer» E.

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If \[z=x+iy\] is a complex number satisfying \[{{\left| z+\frac{i}{2} \right|}^{2}}=\] \[\,\,{{\left| z-\frac{i}{2} \right|}^{2}},\] then the locus of z is [EAMCET 2002]

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