3. Given the equation -5x+4y² 30x - 24y+ 11 = 0, - a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from the given equation; b) Identify the conic section corresponding to the equation obtained in item (3a); c) Find the main elements of the conic section from item (3b); d) Sketch the graph of the conic section from item (3b).
3. Given the equation -5x+4y² 30x - 24y+ 11 = 0, - a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from the given equation; b) Identify the conic section corresponding to the equation obtained in item (3a); c) Find the main elements of the conic section from item (3b); d) Sketch the graph of the conic section from item (3b).
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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Transcribed Image Text:3. Given the equation
-5x+4y² 30x - 24y+ 11 = 0,
-
a) Perform a convenient translation of axes in order to eliminate the linear terms in x and y from
the given equation;
b) Identify the conic section corresponding to the equation obtained in item (3a);
c) Find the main elements of the conic section from item (3b);
d) Sketch the graph of the conic section from item (3b).
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