4. Consider the equation y² - 2x + 6y+ 9 = 0, identify the conic, and find the values o f k such that the family of lines x + 2y + k = 0 satisfies the following condition: a) are tangent to the conic b) Cut the conic at two different points c) Do not cut the conic.
4. Consider the equation y² - 2x + 6y+ 9 = 0, identify the conic, and find the values o f k such that the family of lines x + 2y + k = 0 satisfies the following condition: a) are tangent to the conic b) Cut the conic at two different points c) Do not cut the conic.
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. Consider the equation y² - 2x + 6y+ 9 = 0, identify the conic, and find the values o f k such that the family of lines
x + 2y + k = 0 satisfies the following condition:
a) are tangent to the conic
b) Cut the conic at two different points
c) Do not cut the conic.
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