A sphere touches the plane x - 2y - 2z - 7 = 0 in the point (3, -1, -1) and passes through the point (1, 1, -3). Find its equation.
1
x2 + y2 - z2 - 10y - 10z - 31 = 0
2
x2 + y2 + z2 - 10y - 9z - 31 = 0
3
x2 + y2 + 2z2 - 10y - 10z - 31 = 0
4
x2 + y2 + z2 - 10y - 10z - 31 = 0