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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).

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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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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User Shintaro Takechi
by
7.9k points

1 Answer

6 votes
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
Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices-example-1
answered
User Drwhite
by
8.4k points
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