- #1
phalanx123
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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.![Frown :frown: :frown:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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"