Discussion
A vanishing Jacobian \( \partial(u,v)/\partial(x,y) = 0 \) indicates that
Answer: A
If the Jacobian vanishes identically there is a relation \( \phi(u,v) = 0 \) between the two functions, so they carry no independent information and the map collapses the plane onto a curve. Area is preserved when the Jacobian is \( \pm 1 \), and orientation is reversed when it is negative rather than zero
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