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Chapter 10: Q. 42 (page 654)

Write an equation for each ellipse.

Short Answer

Expert verified

The equation of ellipse isx21+(y-1)24=1

Step by step solution

01

Step 1. Given Information 

The given graph is

02

Step 2. Calculation 

The center of ellipse is at (h,k)=(0,1). The vertices are (2,1)and(-2,1)

The distance of center from each of the vertices is a=2and the distance of center from y-intercept is b=1

Substitute the values in the general form of equation.

(x-h)2b2+(y-k)2a2=1(x-0)212+(y-1)222=1x21+(y-1)24=1

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