$A$ is the point $(0, 2)$ and $B$ is the point $(6, 0)$. The point $C$ lies on the line $y = x$ and angle $ACB = 90^\circ$. There are two such points $C$. Work out the exact distance between them.

• A$2\sqrt{10}$
• B$8\sqrt{2}$
• C$4\sqrt{2}$
• D$2\sqrt{2}$

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