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      Question

      Let a point P(at² , 2at)lie on parabola y²  = 4ax.

      The line joining P and focus intersects the directrix at M. If t=2, then the coordinates of M are:
      A (0, 0) Correct Answer Incorrect Answer
      B (a, -4a/3) Correct Answer Incorrect Answer
      C (a, –2a) Correct Answer Incorrect Answer
      D (–a, -8a/3) Correct Answer Incorrect Answer

      Solution

      The coordinates of the point M are(–a, -8a/3)

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