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 $\mathrm{NOT}$ lie on the line passing through M and perpendicular to the line $PQ$?

• A

  $\left(-6,45\right)$
• B

  $\left(6,29\right)$
• C

  $\left(3,33\right)$
• Correct answer
  D

  $\left(-3,43\right)$

Hence, the correct answer is option: 'D'.