Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y² + 6V2x + 2V2y + 9 = 0 (a) Identify the resulting rotated conic. O ellipse O parabola O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 4xp* + 8xp — 4ур + 9 — 0
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 2x2 + 4xy + 2y² + 6V2x + 2V2y + 9 = 0 (a) Identify the resulting rotated conic. O ellipse O parabola O hyperbola (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) 4xp* + 8xp — 4ур + 9 — 0
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.CT: Chapter Test
Problem 16CT: aUse the discriminant to determine whether the graph of the following equation is a parabola, an...
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