The standard form of the equation of an ellipse centered at (h, k) with major and minor axes of lengths 2a and 2b (Where 0 < b < a) is \ \

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The ellipse centered (h, k) = (4, 1).

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The substitute h = 4, k = 1 values on above equation.

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\ To find out the final equation, we need to any information for a, b.