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find an equation for a horizontal ellipse with major axis that is 50 units and minor axis that is 10 units

User Ejaz Khan
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1 Answer

5 votes

Because of lack of additional information, let us assume that our horizontal ellipse is centered at the origin. We know that the equation of a horizontal ellipse centered at the the origin is given by:


image

Such that a>b (condition for a horizontal ellipse)

Where a=\frac{1}{2}(major axis)=\frac{1}{2}\times 50=25

Likewise, b=\frac{1}{2}(minor axis)=\frac{1}{2}\times 20=10

Thus, the equation of our horizontal ellipse will be:

\frac{x^2}{25^2} +\frac{y^2}{10^2}=1

Please find the attached file for the graph of our horizontal ellipse.

User Hein Zaw Htet
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