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)?
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Standard form: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}
plug in given coordinates(2,4) and (3,5), and center(2,5)
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{{{(2-2)^2/a^2+(4-5)^2/b^2=1}}}
{{{(3-2)^2/a^2+(5-5)^2/b^2=1}}}
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0+(1/b^2)=1
(1/a^2)+0=1
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b^2=1
a^2=1
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Equation:{{{(x-2)^2+(y-5)^2=1}}}
This is an equation of a circle with center at (2,5) and radius=1