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Show that the graph of an equation of the form Ax + Cy + Dx + Ey + F = 0 A + 0, C + 0 where A and C are of opposite sign, D² E2 F + 0. (a) is a hyperbola if 4A 4C D² (b) is two intersecting lines if 4A E - F = 0. 4C

Show that the graph of an equation of the form Ax + Cy + Dx + Ey + F = 0 A + 0, C + 0 where A and C are of opposite sign, D² E2 F + 0. (a) is a hyperbola if 4A 4C D² (b) is two intersecting lines if 4A E - F = 0. 4C

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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Show that the graph of an equation of the form Ax + Cy + Dx + Ey + F = 0 A + 0, C + 0 where A and C are of opposite sign, D² E2 F + 0. (a) is a hyperbola if 4A 4C D² (b) is two intersecting lines if 4A E - F = 0. 4C
Transcribed Image Text:Show that the graph of an equation of the form Ax + Cy + Dx + Ey + F = 0 A + 0, C + 0 where A and C are of opposite sign, D² E2 F + 0. (a) is a hyperbola if 4A 4C D² (b) is two intersecting lines if 4A E - F = 0. 4C
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