The locus of `P(z)` satisfying `z=x+iy` where `Re((z-2)/(z-1))=0` is

If z = x +iy and if the point P in the argand plane represents z then find the locus of P satisfying the equation Amplitude ((z-2)/(z - 6i)) = (pi)/(2)

If z = x +iy and if the point P in the argand plane represents z then find the locus of P satisfying the equation (z - i)/(z -1) is purely imaginary

The locus of z=x+iy satisfying |(z-i)/(z+i)|=1

The locus of z=x+iy satisfying |(z-i)/(z+i)|=2

The locus of point z satisfying Re (z^(2))=0 , is

The locus of point z satisfying Re (z^(2))=0 , is

The locus of z satisfying the inequality |(z+2i)/(2z+1)|<1, where z=x+iy, is :