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

If z=x+iy and |z-1|^(2)+|z+1|^(2)=4, determine the position of the point z in the complex plane.

if |z+1|=sqrt(2)|z-1| then the locus described by the point z in the Argand diagram is

If abs(z)gt1 then find the position of the complex no. of z in argand plane.

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

If z = (x + iy) and if the point P in the Argand plane represents z , then discribe geometrically the locus of P satisfying the equations |z + i|^(2) - |z - i|^(2) = 2

If z = 3 + 5i then represent the z, bar z, - z, - bar z in Argand's diagram.

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 complex numbers z_1=2+5i , z_2=3-4i and z_3=-4+i are represented by the points A, B and C respectively on an Argand diagram. Sketch the Argand diagram