This is my second submission.
This gui plots up to 3 implicit functions F(x,y). The left-hand side generates random integers for A,B, and C then the user is expected to determine the type of the conic. The program checks the answer and displays true or false.
Additionally the user may want to type in his/her own coefficients, that is allowed as well.
Degenerate cases: There is a m-file attached which should be run before using this GUI, because it doesn't calculate degenerate cases. The reason was simply logistical, no place was left on the panel for other coefficients.
Please contact me if you are interested in using this in your classroom, I may be interested in an educational research on its effectiveness.