HELP QUICK!!!
An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse.
a 20
b 10
c 0
d 100
The first step is to find the distance from the given point to each of the two foci as follows: Distance D1: (D1)^2 = (9-1)^2 + (0-6)^2 = 100 D1 = 10 Distance D2: (D2)^2 = (11-1)^2 + (6-6)^2 = 100 D2 = 10
The constant sum is the summation of the two distances as follows: constant sum = D1 + D2 = 10 + 10 = 20
