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Chapter 11: Q. 104 (page 1118)

In the following exercises, graph each ellipse.

x225+y29=1.

Short Answer

Expert verified

The Graph of the given ellipse is given by

Step by step solution

01

Step 1.Given information

The equation of the ellipse isx225+y29=1

02

Step 2.  Concept used

The standard form of the ellipse

with Center at the origin isx2a2+y2b2=1a>b鈬�majoraxisisx-axiswithendpoints-a,0,(a,0)b>a鈬�majoraxisisy-axis.withendpoints(0,-b,(0,b)

03

Step 3.Find the center and major axis

x225+y29=1

Compare the given equation with the standard form of the ellipse

Center:(0,0),36>25anda2=25鈬�a=卤5b2=9鈬�b=卤3

Major axis:

On x-axis with endpoints(-5,0),(5,0).

Minor axis

On y-axis with endpoints(0,-3),(0,3).

04

Step 4. Sketch the ellipse

The graph of the ellipse is shown below

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Most popular questions from this chapter

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