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

Question

Mathematics

Beatrice Carroll

12 May, 17:23

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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Answers (1)

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Jenna Jarvis · Answer 1

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