Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).

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08-07-2018
Mathematics

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Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).

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sqdancefan sqdancefan · Answer 1 · 2018-07-08T10:19:45+02:00

sqdancefan sqdancefan

08-07-2018

Your ellipse has center (h, k) = (0, 0) and x- and y- semi-axis lengths of a=2 and b=12, respectively. The equation is
(x-h)²/a² + (y-k)²/b² = 1

For your values, the equation is
x²/4 + y²/144 = 1

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