SOLUTION: Find the standard of the equation of the ellipses with the given characteristics and center at origin: vertical major axis and passes through the points (0,6) and (3,0)

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Question 857889: Find the standard of the equation of the ellipses with the given characteristics and center at origin: vertical major axis and passes through the points (0,6) and (3,0)

Answer by lwsshak3(11628) About Me  (Show Source):
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Find the standard of the equation of the ellipses with the given characteristics and center at origin: vertical major axis and passes through the points (0,6) and (3,0)
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Standard form of equation for an ellipse with vertical major axis and center at the origin:
x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1, a>b, (h,k)=coordinates of center
2 equations plugging in coordinates of given points on ellipses:
0%2Fb%5E2%2B6%5E2%2Fa%5E2=1
a^2=36
..
3%5E2%2Fb%5E2%2B0%2Fa%5E2=1
b^2=9
..
Equation of given ellipse:
x%5E2%2F9%2By%5E2%2F36=1