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HELP Find the Cartesian equation of the smallest ellipse ? (1 Viewer)

bubb

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Find the Cartesian equation of the smallest ellipse that passes through the point (6,0) and encloses the circle with the polar equation r =4cos theta. Indicate the coordinates of foci and eq of directrices?

I think r=4cos theta (when converted to Cartesian equation: (x-2)^2 + y^2 =4)
 

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