Question 743930
consider the ellipse 9x^2+49y^2=9 
Its vertices are (0,+or-A)
Its Foci are (0,+or-B)
Its eccentricity is?
The length of its major and minor axis are?
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I will use standard notation which you can convert to your own notation:
Given ellipse has a horizontal major axis.
Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}},(a>b), (h,k)=(x,y) coordinates of center.
{{{9x^2+49y^2=9}}} 
{{{x^2+y^2/(9/49)=1}}}
a^2=1
a=1
length of major axis=2a=2
b^2=9/49
b=3/7
length of minor axis=2b=6/7≈0.8571
c^2=a^2-b^2=1-9/49=49/49-9/49=40/49
c=√(40/49)≈0.9035
eccentricity=c/a=0.9035/1≈0.9035