Question

general equation of conics​

Answer 1

The standard form of equation of a conic section is Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, where A, B, C, D, E, F are real numbers and A ≠ 0, B ≠ 0, C ≠ 0. If B^2 – 4AC < 0, then the conic section is an ellipse.

Circle: (x−a)2+(y−b)2=r2

Parabola with vertical axis: (x−a)2=4p(y−b), p≠0

Parabola with the horizontal axis: (y−b)2=4p(x−a), p≠0