The level curves of a function consist of a collection of
hyperbolas and two lines. If the lines intersect at a point P, what are the
possibilities for P? Type the letters of all possibilities, with no
punctuation, in alphabetical order.
A. P is a local maximum, that is, for all Q near P.
B. P is a local minimum, that is, for all Q near P.
C. P is neither a local maximum nor a local minimum.