Here's what I have so far:
a.
b.
No idea what now, pretty sure I need to eliminate x and only get things in terms of u and v but have no idea how.
Cheers
Does anyone have any good links for loci in the complex plane? Preferably a video.
The book I has skims over it a bit too much.
Also if someone could help me with this question on my paper, I have no idea what to do, not in any rush though.
The complex numbers z and and w are represented respectively, by points P(x,y) and Q(u,v) in Argand Diagrams and
.
(a). Show that
and find an expression for u in terms of x and y.
(b). The point P moves along the line y=x. Find the Cartesian equation and the locus of Q.
Diolch yn fawr