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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).

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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).
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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