Question

Find an equation for a horizontal ellipse with major axis that is 50 units and minor axis that is 20 units.

Answer 1

Did you get the answer?

Answer 2

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:

$\frac{x^2}{a^2} +\frac{y^2}{b^2}=1$

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.