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JEE Math Practice Question

Let A(4, $$-$$ 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of $$\Delta $$ACB is maximum. Then, the area (in sq. units) of $$\Delta $$ACB, is :

  1. A.$$31{1 \over 4}$$
  2. B.$$30{1 \over 2}$$
  3. C.32
  4. D.$$31{3 \over 4}$$

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