question_answer

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 APXQ is maximum. Then this maximum area (in sq. units) is [JEE Main Online Paper Held On 12-Jan-2019 Morning]

A) \[\frac{125}{2}\]                                               

B) \[\frac{125}{4}\]

C) \[\frac{625}{4}\]                                   

D)   \[\frac{75}{2}\]