Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin. An ellipse with vertices (0, ±10), passing through the point (√3/2, 5)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CT: Chapter Test
Problem 13CT
Question

Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin.

An ellipse with vertices (0, ±10), passing through the point (√3/2, 5)

 

Expert Solution
Step 1

Vertices if the ellipse are (0,10) and (0,-10) so the major axis is y- axis. Therefore the minor axis is x axis since the origin is the center.

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