if `|z+1|=sqrt2|z-1|` then the locus described by the point z in the Argand diagram is

When (z+imath)/(z+2) is purely imaginary,the locus described by the point zin the argand diagram is

If z=x+iy and |z-3|/|z+3|=2, find the position of the point z in the Argand diagram.

if |(1-iz)/(z-i)|=1 prove that the locus of the variable point z in the Argand plane is the real axis.

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

If the imaginary part of (2z+1)/(i z+1) is -2 , then show that the locus of the point respresenting z in the argand plane is a straight line.

If the imaginary part of (2z+1)/(iz+1) is -2, then show that the locus of the point respresenting z in the argand plane is a straight line.

If the imaginary part of (2z + 1)/(iz + 1) is -2 , then show that the locus of the point representing z in the argand plane is straight line.

Illustrate and explain the set of points z in the Argand diagram, which represents |z- z_(1)| le 3 where z_(1)= 3-2i