   Chapter 12.CT, Problem 2CT ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Find the vertices, foci, and the lengths of major and minor axes for the ellipse x 2 16 + y 2 4 = 1 . Then sketch its graph.

To determine

To find:

The vertices, foci and length of the major and minor axes for the ellipse x216+y24=1, and sketch the graph.

Explanation

Given:

The equation of the ellipse is x216+y24=1.

Approach:

Compare the given equation of ellipse with x2a2+y2b2=1.

Calculation:

By comparing the given equation of ellipse x216+y24=1 with x2a2+y2b2=1.

Since a2=16 and b2=4, so a=4 and b=2 and c=±a2b2=±164=±23.

The length of major axis is 2a=8 and minor axis is 2b=4

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