\textbf{7.} The point $(4/5, 2)$ is a vertex of a rectangle whose two sides lie on the lines $4x + y = 3$ and $4x - y = 5$. What is the maximum distance from the midpoint of the diagonal?
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(1) $\dfrac{\sqrt{17}}{2}$ \hfill (2) $\dfrac{\sqrt{17}}{4}$ \hfill (3) $2\sqrt{17}$ \hfill (4) $\sqrt{17}$
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