Find the locus of point `z` if `z ,i ,a n di z ,` are collinear.

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

Find the locus of point z in the Argand plane if (z-1)/(z+1) is purely imaginary.

Find the locus of z if arg ((z-1)/(z+1))= pi/4

Find the locus of the points representing the complex number z for which |z+5|^(2)-|z-5|^(2)=10

A(z_(1)) and B(z_(2)) are two given points in the complex plane. The locus of a point P(z) in the complex plane satisfying |z-z_(1)|-|z-z_(2)| ='|z1-z2 |, is

if |z-1|=|z-i| then locus of z is

Find the locus of a complex number z=x+ iy satisfying the relation |2z+3i|<=|2z+5|. Illustrate the locus in Argand plane.

If points having affixes z, -iz and 1 are collinear, then z lies on

If |z-1-i|=1 , then the locus of a point represented by the complex number 5(z-i)-6 is