Show that the graph of an equation of the form Ax 2 + Cy 2 + Dx
Question:
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 and 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.
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Complete the square on the given equation Ax Cy Dx Ey F 0 A0 C0 Ax Cy Dx EyF D E Ax x C x y F Ax ...View the full answer
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