Question

The equation represents an ellipse. which point is the center of the ellipse? (−9, 5) (−5, 9) (5, −9) (9, −5)

Answer 1

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).

Which point represents the center of the ellipse whose equation is given as; (y+5)²/121+(x-9)²/49=1?

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

Read more on center of an ellipse;

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