Hi I was asked to do a question on Complex numbers. Here is the question Describe fully the curve in the Argand diagram whose equation is |z + 1 + i| = 8 . Describe fully the three loci determined, as z moves round this curve, by the three complex numbers u, v and w defined as follows: (i) u = 2x + iy (where z = x + iy ); (ii) v = z + 4 + 3i ; (iii) w = iv . I got the first part no problems, its the second part - what does it mean by "as z moves round this curve, by the three complex numbers u, v and w" I am really confused. Does it mean replace the z in the equation |z + 1 + i| = 8 by u,v and w each time or something else? could somebody help me. Thanks a million.