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Question 588069: Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (0, +or-3) co-vertices (+or-5,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (0, +or-3) co-vertices (+or-5,0)
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Standard form of equation for ellipse with vertical major axis:
(x-h)^2/a^2+(y-k)^2/b^2=1,a>b, (h,k) being the (x,y) coordinates of the center.
..
center:(0,0) (mid points of foci and co-vertices)
c=3 (From given coordinates of Foci)
c^2=9
b=5 (From given coordinates of co-vertices)
b^2=25
c^2=a^2-b^2
a^2=c^2+b^2=9+25=34
a=√34≈5.83
Equation of given ellipse:
x^2/25+y^2/34=1
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