Coordinate Geometry: JEE Main 2019 Mathematics question

Let A(4, $-$ 4) and B(9, 6) be points on the parabola, y² = 4x. Let C be chosen on the arc 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 :