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Chapter 11: Q. 282 (page 1157)

In the following exercises, graph each ellipse.

x236+y225=1

Short Answer

Expert verified

The required graph of ellipse is

Step by step solution

01

Step 1. Given Information

The given equation isx236+y225=1

02

Step 2. Explanation

We will first determine whether the major axis is horizontal or vertical.

As 36>25and 36 is in the x2term, so the major axis is horizontal.

The end points of the major axis.

a2=36a=卤36a=卤6

The end points of major axis are (-6,0)and(6,0)

The end points of the minor axis.

b2=25b=卤25b=卤5

The end points of minor axis are(0,-5)and(0,5)

03

Step 3. Graph

The graph of ellipse is shown below,

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