Find the equation of the sphere that contains the points A = (2,4,4) , B= (4,2,0) , and C = (4,0,2), if its center lies on the plane y=x.
from this i guessed that the center of the circle was point A, since points B and C were both equal distances away from them.
which gives me an r = sqroot(24)
Thus, the equation of the sphere is:
(x-2)^2 + (y-4)^2 + (z-4)^2 = 24
My problem is... the center (2,4,4) is not on the plane y=x
I'm confused. any help?