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Let P(4, –4) and Q(9, 6) be two points on the parabola, y 2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of Δ PXQ is maximum. Then this maximum area (in sq. units) is :

1. 4 625
2. 4 125
3. 2 75
4. 2 125

Correct answer: 4 125

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