Show that the graph of an equation of the form
Chapter 10, Problem 84(choose chapter or problem)
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 the same sign, (a) is an ellipse if D2 4A + E2 4C - F is the same sign as A. (b) is a point if D2 4A + E2 4C - F = 0. (c) contains no points if D2 4A + E2 4C - F is of opposite sign to A. E
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