The point which is the center of the ellipse whose equation is; (y+5)²/121+(x-9)²/49=1 s in the task content is; (-5, 9).
It follows from convention that the equation of an ellipse usually takes the form;
(y-h)²/a²+(x-k)²/b²=1 in which case, the center of the ellipse is given by the point; (h, k).
On this note, By comparison of the actual equation and the standard equation, it follows that;
+5 = -h and consequently, h = -5,
-9 = -k and consequently, k = 9.
Ultimately, the point which is the center of the
ellipse is; (-5, 9).
Remark: The equation of the ellipse which is missing in the task content is; (y+5)²/121+(x-9)²/49=1
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