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Chapter 10: Q. 41 (page 654)

Write an equation for each ellipse.

Short Answer

Expert verified

The equation of ellipse is(x-1)2+y24=1

Step by step solution

01

Step 1. Given Information 

The given graph is

02

Step 2. Calculation  

The center of the ellipse is at point (1,0). So, h=1,k=0

From graph, we can say that the center, focus and the vertex of the ellipse all lie on the same line x=1. The major axis is parallel to y-axis.

The vertices of major axis are (h,k+a)=(1,2)and(h,k-a)=(1,-2)and vertices of minor axis are (h-b,k)=(0,0)and(h+b,k)=(2,0)

Consider, h+b=2andk+a=2, Since h=1,k=0, the equations will be as follows,

1+b=2b=1and0+a=2a=2

Substitute the values in the general form of equation of ellipse, we get,

(x-h)2b2+(y-k)2a2=1(x-1)2+y24=1

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Most popular questions from this chapter

The graph of a parabola is given. Match graph to its equation.

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