If `z = x + iy` and roots of ` z (bar z)^3 + (bar z) z^3 = 30` are the vertices of a rectangle and `z_o` is centre of rectangle. Let d be the distance of `z_o` from the point `|z-3| leq 2` then minimum value of d is

If z = x + iy and roots zbarz^(3) + barz z^(3) = 30 are the vertices of a rectangle and z_(0) is centre of rectangle. Let d be distance of z_(0) form the point on circle |z-3| le 2 then maximum value of d is ________

If z = x + iy and roots zbarz^(3) + barz z^(3) = 30 are the vertices of a rectangle and z_(0) is centre of rectangle. Let d be distance of z_(0) form the point on circle |z-3| ge 2 then maximum value of d is ________

If z = x + iy, then z bar(z) =

If z=x+iy, then show that z bar z + 2(z + bar z ) + b =0 represents a circle.

If |z+ bar(z)|+ |z-bar(z)| =2 , then z lies on

If z = x + iy, find in rectangular form. Im (3z + 4bar(z) - 4i)

z bar(z)+(3-i)z+(3+i)bar(z)+1=0 represents a circle with