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

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

Represent the complex numbers z =1 + i, bar z = 1 - i, - bar z =- 1 + i, - z =-1 - i in Argand's diagram and hence find their arguments from the figure.

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

If z^2 = -24-18i , then z=

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

Select the correct answer from the given alternatives. If z = r (Costheta + i Sintheta) then the value of (z /bar z) +(bar z / z) is …… .

If z=r(cos theta +i sin theta ), then the value of (z/ bar z + bar z /z)

If z=(-1-i) , then arg z =

If z = x + iy and p represents z in the Argand's plane. Find the locus of P when. z (bar z + 3) = 2

If z = x + iy and P represents z in the Argand's plane. Find the locus of P when. The amplitude of z - 2 - 3i is pi/4 .