# Minimum Distances

Geometry Level 2

Given that a straight line in the $$xy$$-plane passes through the point $$(3,48)$$ in the first quadrant and intersects the positive $$x$$- and $$y$$-axes at points $$P$$ and $$Q$$ respectively. Let $$O$$ designate the origin.

Find the minimum value of $$OP\times OQ$$.

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