Show that an equation of the form Ax2 + Cy2 + F = 0, A Z 0, C Z 0, F Z 0 where A and C

Chapter 7, Problem 83

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Show that an equation of the form Ax2 + Cy2 + F = 0, A Z 0, C Z 0, F Z 0 where A and C are of the same sign and F is of opposite sign,(a) Is the equation of an ellipse with center at if(b) Is the equation of a circle with center if 10, 02 A = C.

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