If` |(z +4)/(2z -1)|=1,` where `z =x +iy.` Then the point (x,y) lies on a:

If Re((z-1)/(2z+i))=1, where z=x+iy ,then the point (x,y) lies on a

Let z=x+iy and omega=(1-iz)/(z-i). If |omega|=1 show the in the complex plane the point z lies on the real axis.

Let z=x+iy , where x and y are real. The points (x,y) in the xy-plane of which (z+1)/(z-1) is purely imaginary, lie on

If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

If z=x+iy and (z-i)/(z+1) is purely imaginary,then show that the point z always lies on a circle.

Consider a complex number w=(z-1)/(2z+1) where z=x+iy, where x,y in R . If the complex number w is purely imaginary then locus of z is

if the point z_(1)=1+i where i=sqrt(-1) is the reflection of a point z_(2)=x+iy in the line ibar(z)-iz=5 then the point z_(2) is