What type of conic section is defined by the equation?

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asked Nov 11, 2024 90.3k views

1 Answer

Eric Haskins · Answer 1 · 2024-11-17T18:52:13+0000

so in the template above for a conic, the defining components are the coefficients A and C

If either A=0 or C=0, then the equation is a parabola

if A=C, then we have a Circle

if either A or C is negative, and A≠C, then we have a hyperbola

if A and C are both positive or both negative, and A≠C, then we have an ellipse.