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Chapter 11: Q. 287 (page 1157)

In the following exercises, find the equation of the ellipse shown in the graph.

Short Answer

Expert verified

The equation of ellipse isx236+y264=1

Step by step solution

01

Step 1. Given Information

The given figure is

02

Step 2. Explanation

From the given graph, we can say that this is an ellipse center at origin.

The standard form of equation of ellipse is x2a2+y2b2=1

From the graph the major axis is vertical and distance from center to ellipse is 8.

b=8b2=64

And minor axis is horizontal and distance from center to vertex is 6.

a=6a2=36

Thus, equation of ellipse is x236+y264=1

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