02 Location of the third point on the parabola for largest triangle

Problem
The line y = 2x + 8 intersects the parabola y = x2 at points A and B. Point C is on the parabolic arc AOB where O is the origin. Locate C to maximize the area of the triangle ABC.
A. (1.1, 1.21)
B. (1, 1)
C. (0.9, 0.81)
D. (1.2, 1.44)
 

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