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Identify the conic section represented by the following equation by rotating axes to place the conic in standard position. 5x² — 12xy - 4y² + 56 = 0 Find an equation of the conic in the rotated coordinates.

Identify the conic section represented by the following equation by rotating axes to place the conic in standard position. 5x² — 12xy - 4y² + 56 = 0 Find an equation of the conic in the rotated coordinates.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem #5: Identify the conic section represented by the following equation by rotating axes to place the conic in standard position. Problem #5: 5x²-12xy - 4y² +56 = 0 Find an equation of the conic in the rotated coordinates. (A) The Ellipse²+²= 1 (B) The circle + 3/2²2 =² = 1 (C) The hyperbola +2² - 1² = 1 56 56 (D) The ellipse +2²+12²= 1 (E) The hyperbola ¹² -²2² = 1 1 (F) The ellipse²+²= (G) The hyperbola ¹²-2²=1 = 1 (H) The hyperbola²-12 = 1 Select
Transcribed Image Text:Problem #5: Identify the conic section represented by the following equation by rotating axes to place the conic in standard position. Problem #5: 5x²-12xy - 4y² +56 = 0 Find an equation of the conic in the rotated coordinates. (A) The Ellipse²+²= 1 (B) The circle + 3/2²2 =² = 1 (C) The hyperbola +2² - 1² = 1 56 56 (D) The ellipse +2²+12²= 1 (E) The hyperbola ¹² -²2² = 1 1 (F) The ellipse²+²= (G) The hyperbola ¹²-2²=1 = 1 (H) The hyperbola²-12 = 1 Select
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