# JEE Coordinate (4)!

Geometry Level 3

Consider the parabola $$y^2 = 4x$$.

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

Let $$R$$ be a moving point on the arc of the parabola between $$P$$ and $$Q$$.

Find the maximum possible area of $$RPQ$$.

If maximum area is $$S$$, report your answer as $$(4S)^{1/3}$$.

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