Question 901275: Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.
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x^2+9y^2=9
x^2/9+y^2=1
This is an equation of an ellipse with horizontal major axis with center at the origin.
Its standard form of equation:  ,a>b
For given ellipse:
center:(0,0)
a^2=9
a=3
vertices:(0±a,0)=(0±3,0)=(-3,0) and (3,0)
b^2=1
c^2=a^2-b^2=3-1=2
c=√2
foci(0±c,0)=(0±√2,0)=(-√2,0) and (√2,0)
eccentricity=c/a=√2/3
latus rectum=2b^2/a=2/3
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