Solution
= Solution
For the real positive <dilation> factor, $\bar z=\alpha\bar w$ and $z\bar z=\alpha^2w\bar w$. Thus
$$
a\alpha^2w\bar w+\alpha b\bar w+\alpha\bar b w+c=0,
$$
and
$$
\boxed{A=a\alpha^2,\qquad B=\alpha b,\qquad C=c}.
$$
The original PDF specifies a dilation; the differently named transformation in the OCR is an error.