4. Given the equation 7x27y24xy - 90 = 0, a) Perform a convenient rotation of axes in order to eliminate the term xy from the given equation; b) Identify the conic section corresponding to the equation obtained in item (4a); c) Find the main elements of the conic section from item (4b); d) Sketch the graph of the conic section from item (4b).
4. Given the equation 7x27y24xy - 90 = 0, a) Perform a convenient rotation of axes in order to eliminate the term xy from the given equation; b) Identify the conic section corresponding to the equation obtained in item (4a); c) Find the main elements of the conic section from item (4b); d) Sketch the graph of the conic section from item (4b).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
Question
Transcribed Image Text:4. Given the equation
7x27y24xy - 90 = 0,
a) Perform a convenient rotation of axes in order to eliminate the term xy from the given equation;
b) Identify the conic section corresponding to the equation obtained in item (4a);
c) Find the main elements of the conic section from item (4b);
d) Sketch the graph of the conic section from item (4b).
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