3. Let C be the standard hyperbola ²2-2= 1, with a > 0 and b>0. Show that the slopes of the asymptotes of C are √e² - 1 and - Ve² - 1, where e is the eccentricity of C. A hyperbola is called rectangular if its asymptotes are perpendicular to each other. What is the eccentricity of a rectangular hyperbola?
3. Let C be the standard hyperbola ²2-2= 1, with a > 0 and b>0. Show that the slopes of the asymptotes of C are √e² - 1 and - Ve² - 1, where e is the eccentricity of C. A hyperbola is called rectangular if its asymptotes are perpendicular to each other. What is the eccentricity of a rectangular hyperbola?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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