SOLUTION: Write the equation in standard form for the ellipses with vertices (0,12) and (0,-12), and co-vertices (-6,0) and (6,0)

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Question 1155123: Write the equation in standard form for the ellipses with vertices (0,12) and (0,-12), and co-vertices (-6,0) and (6,0)
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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The center of the ellipse is at the point (0,0), the origin of the coordinate system.


The longer axis is vertical.  The longer semi-axis is 12 units long.


The shorter axis is horizontal.  The shorter semi-axis is 6 units long.


The canonical equation of the ellipse is


     +  = 1,

or

     +  = 1.

Solved.

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To learn the subject from scratch,  read the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.



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