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

Let `A(4,-4)` and B(9,6) be points on the parabola `y^(2)=4x. ` Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of `DeltaACB` is maximum. Then the area (in sq. units) of `DeltaACB` is :

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