Show that the graph of an equation of the form where A and C are of the same sign, (a)

Chapter 7, Problem 84

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Show that the graph of an equation of the form where A and C are of the same sign, (a) Is an ellipse if is the same sign as A. D2 4A + E2 4C - F Ax2 + Cy2 + Dx + Ey + F = 0, A Z 0, C Z 0 (b) Is a point if (c) Contains no points if is of opposite sign to A. D2 4A + E2 4C - F D2 4A + E2 4C - F = 0.

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