Question 893211: How do I identify the center, co-vertices, foci, length of major axis, length of minor axis, and eccentricity of x^2/9+y^2=1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! How do I identify the center, co-vertices, foci, length of major axis, length of minor axis, and eccentricity of x^2/9+y^2=1
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Given equation is that of an ellipse with horizontal major axis and center at then origin
Its standard form of equation: , a>b
center(0,0)
a^2=9
a=3
length of major axis=2a=6
b^2=1
b=1
length of minor axis=2b=2
co-vertices:(0,0±b),(0,0±1),=(0,-1) and (0,1)
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
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