Solved: In 53-56, apply the rotation formulas (5) to Ax2 +
Chapter , Problem 11.5.56(choose chapter or problem)
In 53-56, apply the rotation formulas (5) to Ax2 + Bxy + ci + Dx + Ey + F = 0 to obtain the equation A'x,2 + B'x'y' + C'y , 2 + D'x' + E'y' + F' = 0 Prove that, except for degenerate cases, the equation Ax2 + Bxy + ci + Dx + Ey + F = 0 (a) De fines a parabola if B2 - 4AC = O. (b) Defines an ellipse (or a circle) if B 2 - 4A C < O. (c) Defines a hyperbola if B2 - 4AC > O.
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