Ellipse and Hyperbola

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Ellipse and Hyperbola

Two conic sections with horizontal major axes are given by the following equations:

(x - h)²

a²

(y - k)²

b²

= 1

The two conics intersect at exactly two points. One of those points is on the left branch of the hyperbola, and is (-5, 1). The eccentricity of the ellipse is

. One focus of the hyperbola is (-6, 1).

Find the point (h, k).

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Problem by Mr. Twitchell

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