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Consider the equation:

Ax^2+Cy^2+Dx+Ey+F=0

Consider the cases AC>0, AC=0 and AC<0 and show that they lead to an ellipse, parabola and hyperbola respectively, except for certain degenerate cases. Discuss these degenerate cases and the curves that arise from them

Don't really know where to start. I can 'prove' it by doing examples but that is not sufficient. Can somebody get me started on answering this question please?

Thanks

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# Conic sections question

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