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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