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:

`(x^2)/(a^2) +(y^2)/(b^2)=1`

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

Where
`a=(1)/(2)(major axis)=(1)/(2)* 50=25`

Likewise,
`b=(1)/(2)(minor axis)=(1)/(2)* 20=10`

Thus, the equation of our horizontal ellipse will be:

`(x^2)/(25^2) +(y^2)/(10^2)=1`

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