<p>If \(|z-2+3i|=9\), then the greatest value of \(|z|\) is:</p>
Step-by-Step Solution
Key Concept: Centre at 2-3i, radius 9. |2-3i| = \sqrt{13.} Max |z| = \sqrt{13} + 9.
<p>Circle centre $c=2-3i$, $|c|=\sqrt{4+9}=\sqrt{13}$. Max $|z| = |c|+r = \sqrt{13}+9$. ✓ Answer A=C depends on option labelling.</p>
Correct Answer: C