39-56 Finding the Equation of an Ellipse Find an equation for the ellipse that satisfies the given conditions.
42. Foci: , vertices: .
The equation for the ellipse for the given conditions.
The foci and vertices of the ellipse is,
The basic equation for an ellipse which is used is as follows,
Where and are constant values.
Expression to find vertices is,
Expression to find Foci is,
Compare the standard coordinates of vertices and the given coordinates of the vertices.
Compare the standard coordinates of foci and the given coordinates of the foci.
Substitute for and for in the above relation to calculate the value of
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