9. The complex number \(z\) is represented by the point \(P\) in an Argand diagram.
Given that \(\arg \left( \frac { z - 5 } { z - 2 } \right) = \frac { \pi } { 4 }\)
- sketch the locus of \(P\) as \(z\) varies,
- find the exact maximum value of \(| z |\).
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