What Is the Shortest Possible Length of the Line Segment $y=\frac{5}{x}$

Multiple Choice

What is the shortest possible length of the line segment that is cut off by the first quadrant and is tangent to the curve $y=\frac{5}{x}$ at some point?

A) $\frac{\sqrt{2}}{5}$
B) $\sqrt{2}$
C) $\frac{1}{5}$
D) None of these
E) $2 \sqrt{10}$