Use the Discriminant $B^{2}-4 A C$ To Determine If $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$

Use the discriminant $B^{2}-4 A C$ to determine if $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$ is an ellipse, a parabola, or a hyperbola.