Asked by Jake
For the transformation w=z^2, find the locus of w when z lies on the imaginary axis.
I thought the locus would be a line along the real axis as I thought w= r^2 or -r^2 but the book says it has argument pi which would mean only on the negative real axis ie w= -r^2 why both are not valid where have I gone wrong
I thought the locus would be a line along the real axis as I thought w= r^2 or -r^2 but the book says it has argument pi which would mean only on the negative real axis ie w= -r^2 why both are not valid where have I gone wrong
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