Let \( PQ \) be a focal chord of the parabola \( y^{2} = 36x \) of length \( 100 \), making an acute angle with the positive \( x \)-axis. Let the ordinate of \( P \) be positive and \( M \) be the point on the line segment \( PQ \) such that \( PM : MQ = 3 : 1 \). Then which of the following points does NOT lie on the line passing through \( M \) and perpendicular to the line \( PQ \)?
