Show that the graph of an equation of the form

Chapter 10, Problem 86

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Show that the graph of an equation of the form Ax2 + Cy2 + Dx + Ey + F = 0 A 0, C 0 where A and C are of opposite sign, (a) is a hyperbola if D2 4A + E2 4C - F 0. (b) is two intersecting lines if D2 4A + E2 4C - F = 0. A

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