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:
[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2}=1 [/tex]
Such that [tex] a>b [/tex] (condition for a horizontal ellipse)
Where [tex] a=\frac{1}{2}(major axis)=\frac{1}{2}\times 50=25 [/tex]
Likewise, [tex] b=\frac{1}{2}(minor axis)=\frac{1}{2}\times 20=10 [/tex]
Thus, the equation of our horizontal ellipse will be:
[tex] \frac{x^2}{25^2} +\frac{y^2}{10^2}=1 [/tex]
Please find the attached file for the graph of our horizontal ellipse.
