SOLUTION: Find an equation of the ellipse that has center (1,1) a major axis of length of 10 , and endpoint of minor axis (0,1)

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Question 1137060: Find an equation of the ellipse that has center (1,1) a major axis of length of 10 , and endpoint of minor axis (0,1)
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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The minor axis is horizontal, parallel to x-axis (!);  

hence, the major axis is vertical, parallel to y-axis.


Major semi-axis is 5 units long;  minor semi-axis is 1 unit long.


The ellipse is taller than long.


The equation has the form


%28x-1%29%5E2%2F1%5E2 + %28y-1%29%5E2%2F5%5E2 = 1.

Solved.

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To see the theory and a set of solved problems on this subject, look into the lessons in this site
    - Ellipse definition, canonical equation, characteristic points and elements

    - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
    - Find the standard equation of an ellipse given by its elements

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.