# Lets have a straight talk!

Geometry Level 4

A straight line $$L$$ with negative slope passes through the point $$(8,2)$$ and cuts the positive coordinate axes at points $$P$$ and $$Q$$. Find the the absolute minimum value of $$OP+OQ$$, as $$L$$ varies where $$O$$ is the origin.

This is a part of the set JEE Fest.

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