Question

Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 2); vertex: (−7, 2); minor axis of length 12

Answer 1

(x-1)²/64 + (y-2)²/ 144= 1

Explanation:

Given that

The standard form for an ellipse is

(x-h)/a² + ( y-k)/b²=1

So

h, k

is the centre of the ellipse, and

a is the distance from the centre to the vertices and c is the distance from the centre to the foci.

b is the minor axis.

So b² + c²= a²

In this example

a= -7-1= -8