I'm not sure if I've substituted it correctly but all I'm looking for here is to confirm if it's right
The complex numbers w and z is represented by P (x , y) and Q (u, v) on argand diagrams and
P moves along the line . Find the cartesian equation of the locus of Q.
I got expressions for u and v in terms of x and y first:
u =
v =
Then I inserted the into the equations
u =
u = 2x - 1 -->
v = 2xy
v =
and my cartesian equation came out as
Would it be possible if you could please verify my answer? Thanks if you can help