Let PQ be a chord of the parabola $y ^ { 2 } = 12 x$ and the midpoint of PQ be at $( 4,1 )$. Then, which of the following point lies on the line passing through the points P and Q ?\\
(1) $( 3 , - 3 )$\\
(2) $( 2 , - 9 )$\\
(3) $\left( \frac { 3 } { 2 } , - 16 \right)$\\
(4) $\left( \frac { 1 } { 2 } , - 20 \right)$