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)

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=(-5+7)/(2)=(2)/(2)=1`

Y co-ordinate of center is
`y=(2+2)/(2)=2`

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