I found the general equation of a tangent plane to the ellipsoid and the equation of the bundle of planes passing through the line. I can't seem to get anywhere from there. I would like some ideas on how to solve the problem. Please Help.

The ellipsoid given in the problem is:

x^2/16 + y^/12 + z^2/4 = 1

And the line:

(x-2)/2 = (y-3)/-1 = (z-2)/0

Thanks