Let A(4, -4) and B(9, 6) be points on the parabola y² = 4x. Let C be a point chosen on the arc AOB of the parabola, where O is the origin, such that the area of ΔACB is maximum. Then, the area (in sq. units) of ΔACB is:<p></p>

Let A(4, -4) and B(9, 6) be points on the parabola y² = 4x. Let C be a point chosen on the arc AOB of the parabola, where O is the origin, such that the area of ΔACB is maximum. Then, the area (in sq. units) of ΔACB is:

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Question:

Let A(4, -4) and B(9, 6) be points on the parabola y² = 4x. Let C be a point chosen on the arc AOB of the parabola, where O is the origin, such that the area of ΔACB is maximum. Then, the area (in sq. units) of ΔACB is:

Solution: