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"Find the constant sum of an ellipse with the given foci and point of the ellipse. co-vertex(o,-8), focus(6,0)"
Given data shows this is an ellipse with horizontal major axis. Standard form of its equation:
(x-h)^2/a^2+(y-k)^2/b^2, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation:
x-coordinate of center=0 (from focus)
y-coordinate of center=0 (from co-vertex)
length of co-vertex=16=2b
c=6 (center to focus)
Equation of given ellipse: