Inu the standalu cque Tor thu puruk the major axis of the ellipse 4x2 + 9y2 = 144, whose focus is the center of the ellipse, and which passes through the co-vertices of this ellipse. Find the standard equation of the ellipse whose major and minor axes are the transverse and conjugate axes (not necessarily in that order) of the hyperbola %3D newe

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.4: Translations Of Conics
Problem 5ECP
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Answer question number 3, show your complete solution.
A. Problems Involving Conic Sections
1. Find the standard equation of the hyperbola whose conjugate axis is on the
directrix of the parabola y? -5x + 12y
-- 16, having the focus of the parabola
as one of its foci, and the vertex of the parabola as one of its vertices.
2. Find the standard equation of the parabola opening to the left whose axis contains
the major axis of the ellipse 4x2 + 9y? = 144, whose focus is the center of the
ellipse, and which passes through the co-vertices of this ellipse.
3. Find the standard equation of the ellipse whose major and minor axes are the
transverse and conjugate axes (not necessarily in that order) of the hyperbola
y? - x2 - 4x - 4y – 4
vena
= 0.
Transcribed Image Text:A. Problems Involving Conic Sections 1. Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola y? -5x + 12y -- 16, having the focus of the parabola as one of its foci, and the vertex of the parabola as one of its vertices. 2. Find the standard equation of the parabola opening to the left whose axis contains the major axis of the ellipse 4x2 + 9y? = 144, whose focus is the center of the ellipse, and which passes through the co-vertices of this ellipse. 3. Find the standard equation of the ellipse whose major and minor axes are the transverse and conjugate axes (not necessarily in that order) of the hyperbola y? - x2 - 4x - 4y – 4 vena = 0.
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