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Let A (4, -4) and B (9, 6) be points on ...

Let A (4, -4) and B (9, 6) be points on the parabola, `y^(2)=4x`. Let C be chosen on the are 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

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