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

If (1+i)z=(1-i) (bar z) , then show that z=-i bar z

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

If arg(z)= theta , then arg( bar z ) = ?

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

If arg(z) = theta , then arg(bar z) =

If the real part of frac{bar z + 2}{bar z -1} is 4, then show that the locus of the point representing z in the complex plane is a circle.

For z=2+3i, verify the following: bar bar z = z

For z=2+3i, verify the following: z bar z = abs(z)^2

If z=x+iy and abs(z - zi) = 1, then,

For z=2+3i, verify the following: (z- bar z ) = 6i