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[" Let "A(4,-4)" and "B(9,6)" be points on the parabola,"],[y^(2)=4x" .Let "C" be chosen on the arc AOB of the "],[" parabola,where "O" is the origin,such that the area "],[" of "/_ACB" is maximum.Then,the area (in sq.units) "],[" of "Delta ACB" ,is: "],[[qquad ," [UEE-MAINS-19] "],[" (1) "31(3)/(4)," (2) "32]]

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