(a) A hyperbola in standard position has equation 36x2 - 49y? - 100 = 0. (i) Find the vertices and asymptotes of the hyperbola. (ii) Sketch the hyperbola, labelling its vertices with their coordinates and its asymptotes with their equations. (iii) Find the eccentricity, foci and directrices of the hyperbola.
(a) A hyperbola in standard position has equation 36x2 - 49y? - 100 = 0. (i) Find the vertices and asymptotes of the hyperbola. (ii) Sketch the hyperbola, labelling its vertices with their coordinates and its asymptotes with their equations. (iii) Find the eccentricity, foci and directrices of the 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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