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A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single point and r is not parallel to the asymptotes of H. Mark the answer that contains the possible values of m∈R so that the line rm : y=mx −1 is tangent to the hyperbola H:25x2−16y2=400. Choose the correct alternative: a.m=5/4 or m=−5/4 b.m=√26/16 or m=−√26/16 c.m=√26/4 or m=−√26/4 d.m=√26 or m=−√26 e.m=13/2 or m=−13/2

A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single point and r is not parallel to the asymptotes of H. Mark the answer that contains the possible values of m∈R so that the line rm : y=mx −1 is tangent to the hyperbola H:25x2−16y2=400. Choose the correct alternative: a.m=5/4 or m=−5/4 b.m=√26/16 or m=−√26/16 c.m=√26/4 or m=−√26/4 d.m=√26 or m=−√26 e.m=13/2 or m=−13/2

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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A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single point and r is not parallel to the asymptotes of H. Mark the answer that contains the possible values of m∈R so that the line rm : y=mx −1 is tangent to the hyperbola H:25x2−16y2=400.

Choose the correct alternative:

a.m=5/4 or m=−5/4
b.m=√26/16 or m=−√26/16
c.m=√26/4 or m=−√26/4
d.m=√26 or m=−√26
e.m=13/2 or m=−13/2
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