Find an equation for the ellipse Graph the equation foci at

Find an equation for the ellipse. Graph the equation. foci at (-2, 6) and (-2, -8), length of major axis is 20 Type the left side of the equation of the ellipse. = 1 Which graph shown below is the graph of the ellipse?

Solution

focii(-2,6),(-2,-8)

focii(h, k+c),(h,k-c)

k+c=6 , k-c=-8

k=-1 ,c = 7

b=100-49=51

Required equation

(x+2)²/51 + (y+1)²/100=1

COrrect option is D .