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JEE Math Practice Question

Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of $$\Delta $$PXQ is maximum. Then this maximum area (in sq. units) is :

  1. A.$${{625} \over 4}$$
  2. B.$${{125} \over 4}$$
  3. C.$${{75} \over 2}$$
  4. D.$${{125} \over 2}$$

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