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Let P(4,-4) and Q(9,6) be two points on ...

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 are POQ of this parabola, where O is the vertex of this parabola, such that the area of `Delta PXQ` is maximum. Then this maximum area (in square units) is `(25k)/(4)`. The value of k is

A

`(75)/(2)`

B

`(125)/(4) `

C

`(625)/(4)`

D

`(125)/(2)`

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The correct Answer is:
B
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