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Derive The Equation Of An Ellipse

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The standard form of an ellipse is  x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 , where a represents the _________ radius of the ellipse

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 The distance from the center to each __________ of the ellipse is given by b

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The length of the minor axis of the ellipse is given by _____

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 The distance from the center to each __________ of the ellipse is given by a

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The distance from the _________to each focus of the ellipse is given by c, where c2=a2b2c^2=a^2-b^2

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When the major axis is parallel to the y-axis, b is _________ than a

The equation of an ellipse can also be written in the general form as:

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 When the major axis is parallel to the x-axis, a is _________ than b

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The foci of the __________ are located at (h +,- c,k) the standard form equation

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The equation of the___________ of the ellipse, when the major axis is parallel to the x-axis, is  x= h +, (ae)x=\ h\ +,-\ \left(\frac{a}{e}\right)