Let $P, Q,$ and $R$ be three co-normal points on the parabola $y^2 = 4ax$. Then the correct statement$(s)$ is/are:

  • A
    The algebraic sum of the slopes of the normals at $P, Q,$ and $R$ vanishes.
  • B
    The algebraic sum of the ordinates of the points $P, Q,$ and $R$ vanishes.
  • C
    The centroid of the triangle $PQR$ lies on the axis of the parabola.
  • D
    All of the above.

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