Hi I was asked to do a question on Complex numbers. Here is the question(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Confused by the question

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