The equation of the ellipse will be ( x² / 15 ) + ( y² / 25 ) = 1.
What is an ellipse?
In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. As such, it generalizes a circle, which is the special type of ellipse in which the two focal points are the same.
Given that an ellipse has the vertices (0,-5) and (0,5) and a minor axis of length 8.
The equation of the ellipse is calculated by using the formula below:-
( x - h )² / b² + ( y - k )² / a² = 1
( x - 0 )² / 4² + ( y - 0 )²/ 5² = 1
x² /16 + y² / 25 = 1
Therefore, the equation of the ellipse will be ( x² / 15 ) + ( y² / 25 ) = 1.
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