JEE Main 2019 Mathematics question on Conic Sections

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 $\triangle PXQ$ is maximum. Then, this maximum area (in sq units) is