Question 975068
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The general form of a conic is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ f(x)\ =\ Ax^2\ +\ Bxy\ +Cy^2\ +\ Dx\ +\ Ey\ +\ F]


*[tex \LARGE B\ =\ 0]: axes of conic perpendicular to axes of coordinate system.


*[tex \LARGE B\ \not = \ 0]: axis of conic rotated with respect to coordinate axes.


*[tex \LARGE A\ =\ C\ \not = \ 0]: Circle


*[tex \LARGE A\ \not =\ C,\, AC\ > 0]: Ellipse


*[tex \LARGE A\ =\ 0] or *[tex \LARGE C\ =\ 0]: Parabola


*[tex \LARGE A\ \not =\ C,\, AC\ < 0]: hyperbola


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \