SOLUTION: What is the equation of an ellipse in standard for with the center at (2,5) and passing through the points (2,4) and (3,5)?

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Question 748760: What is the equation of an ellipse in standard for with the center at (2,5) and passing through the points (2,4) and (3,5)?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation of an ellipse in standard for with the center at (2,5) and passing through the points (2,4) and (3,5)?
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Standard form: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
plug in given coordinates(2,4) and (3,5), and center(2,5)
..
%282-2%29%5E2%2Fa%5E2%2B%284-5%29%5E2%2Fb%5E2=1
%283-2%29%5E2%2Fa%5E2%2B%285-5%29%5E2%2Fb%5E2=1
..
0+(1/b^2)=1
(1/a^2)+0=1
..
b^2=1
a^2=1
..
Equation:%28x-2%29%5E2%2B%28y-5%29%5E2=1
This is an equation of a circle with center at (2,5) and radius=1