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 :
A. `31(3)/(4)`
B. `32`
C. `30(1)/(2)`
D. `31(1)/(4)`
