Question

If the foci of an ellipse are (negative 5 comma 2 )and (7 comma 2 )​, then what are the coordinates of the center of the​ ellipse?

Answer 1

Answer:(1,2)

Step-by-step explanation:

Given

Focii of an Ellipse are (-5,2) and (7,2)

As the y co-ordinate is same therefore it is a horizontal Ellipse

and we know that center of the Ellipse is the midpoint of two Focii

x co-ordinate of center is $x=\frac{-5+7}{2}=\frac{2}{2}=1$

Y co-ordinate of center is $y=\frac{2+2}{2}=2$

Therefore co-ordinates of center is (1,2)