If `(z^2)/(z-1)` is always real, then locus of z is

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The locus of `z` such that `z^2/(z-1)` is always real is The locus of `z` such that `z^2/(z-1)` is always real is
Problems like "locus of 2 |z-2| = |z-1|" Problems like "locus of 2 |z-2| = |z-1|"
If `|z^2-1|=|z|^2+1` shwo that the locus of z is as straight line. If `|z^2-1|=|z|^2+1` shwo that the locus of z is as straight line.
If |z+2| = |z−2| , then the locus of z is……………………………………….. . If |z+2| = |z−2| , then the locus of z is……………………………………….. .
If the real part of If the real part of '(z ̅+2)/(z ̅−1)' is 4 ,then show that the locus of the point representing z...
If |z+2i| = |z−2i|, then the locus of z is ………………………………………. . If |z+2i| = |z−2i|, then the locus of z is ………………………………………. .
If `Im((z-i)/(2i)) = 0` then the locus of z is If `Im((z-i)/(2i)) = 0` then the locus of z is
9. If the real part of  (z ̅+2)/(z ̅−1)  is 4, then show that the locus of the point representing 9. If the real part of  (z ̅+2)/(z ̅−1)  is 4, then show that the locus of the point representing