Prove that, except for degenerate cases, the equation Ax2

Chapter 10, Problem 56

(choose chapter or problem)

Prove that, except for degenerate cases, the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 (a) Defines a parabola if B2 - 4AC = 0. (b) Defines an ellipse (or a circle) if B2 - 4AC 6 0. (c) Defines a hyperbola if B2 - 4AC 7 0.

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