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Chapter 10: Q. 38 (page 654)

Find an equation for each ellipse. Graph the equation by hand.

Vertices at卤5,0;c=2

Short Answer

Expert verified

The equation of ellipse is x225+y224=1and the graph is

Step by step solution

01

Step 1. Given Information

We are given vertices as卤5,0;c=2

02

Step 2. Calculation

The vertices lie on the x-axis. So, the major axis of the ellipse is x-axis and the center lies at the midpoint of vertices that is at origin.

The foci are 卤1,0and the distance from center from one of the vertices is a=4. Thus, we have,

b2=a2-c2b2=25-1b2=24

Thus, the equation of ellipse is as follows,

x2a2+y2b2=1x225+y224=1

On plotting the points on the graph, we get,

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