Write an equation for an ellipse centered at the origin, which has foci at (0,±6) and vertices at (0,±sqrt37)

The equation of the ellipse =

Step-by-step explanation:

Explanation:-

Step(l):-

Given foci of the ellipse is (0,±6)

we know that the foci  ( 0, ±C) = (0,±6)

                                        C   =  6

The focus is lie on y- axis

Step(ll):-

Given data  the vertices are (0,±√37)

The major axes are  (0,±a) =  (0,±√37)

       a = √37

The relation between the focus and semi major axes and semi minor axes are      

Step (lll) :-

The equation of the ellipse    

Conclusion:-

The equation of the ellipse =

where's the diagrams?

the first one, all those points on the line just make a strait line.