Question 543016: Write an equation in standard form for the ellipse with center (0, 0), co-vertex (10, 0) and focus (0, 24).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation in standard form for the ellipse with center (0, 0), co-vertex (10, 0) and focus (0, 24).
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Standard form of equation for an ellipse with vertical major axis:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation:
center: (0,0)
length of co-vertex=20=2b
b=10
b^2=100
c=24 (distance from center to focus)
c^2=24^2=576
c^2=a^2-b^2
a^2=c^2-b^2=576-100=476
Equation of given ellipse:
x^2/100+y^2/476=1
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