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Question Id : 15572 | Context : JEE Main 2019 (9 January Evening Shift)
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 $\triangle ACB$ is maximum. Then, the area (in sq. units) of $\triangle ACB$ is:

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