Represent 1+2i, 2-i, -3-2i, -2+3i by points in Argands diagram

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.

Show that the points represented by the complex numbers 2 + 2i, -2 - 2i, -2sqrt(3) + 2sqrt(3) i in the Argand's plane form an equilateral triangle.

Represent (1+2i)/(1-3i) in the polar form.

Show that in the Argand's diagram the points represented by the complex numbers 2 + i, 4 + 3i, 2 + 5i, 3i taken in order form a square.

Write (1 +2i ) (1 + 3i ) ( 2 + i ) ^(-1) in the form a + ib