Identifying Circles, Parabolas, Hyperbolas, and Ellipses

4x²+4y²=36   Circle

2x²+4y=3     Parabola

4x²-4y²=12  Hyperbola

4x²+3y²=25  Ellipse

A=C: Circle

A≠C and same sign: Ellipse

A and C have different signs: Hyperbola

A or C are 0: Parabola