The points (0, -1, -1), (-4, 4, 4), (4, 5, 1) and (3, 9, 4) are

coplanar

Equation of the plane passing through the points (0, -1, -1), (-4, 4, 4) and (4, 5, 1) is

$\left|\begin{array}{ccc}x & (y+1) & (z+1) \\ -4 & 5 & 5 \\ 4 & 6 & 2\end{array}\right|=0$                 …. (1)

The point (3, 9, 4) satisfies the equation (1).

Hence (2) is the correct answer.