Copied Show that any bilinear map takes circles into circles. Find the image of the triangle \[ \{z=x+iy:\ x\ge 0,\ y\ge 0,\ x+y\le 1\} \] under the mapping \(w=1/z\). Raw LaTeX \begin{enumerate} \item[(a)] Show that any bilinear map takes circles into circles. \item[(b)] Find the image of the triangle \[ \{z=x+iy:\ x\ge0,\ y\ge0,\ x+y\le1\} \] under the mapping \(w=1/z\). \end{enumerate} Topic Tags Conformal Mapping and Bilinear Transformations Linear Programming and Optimization