Question

Write an equation of the ellipse centered at the origin given its vertex and co vertex

Answer 1

`(x^2)/(49)+(y^2)/(25)=1.`

Explanation:

The equation of the ellipse is

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

If the vertex of the ellipse is at point (-7,0), then a=7.

If the co-vertex of the elllipse is at point (0,-5), then b=5.

The equation of the ellipse is

`(x^2)/(7^2)+(y^2)/(5^2)=1,`

`(x^2)/(49)+(y^2)/(25)=1.`