Step 1: Identify geometrical isomerism
Geometrical isomerism occurs in complexes where ligands can be arranged differently in space around the central atom.
Step 2: Analyze each option
\begin{itemize}
\item I. \ce{[Co(en)(NH3)2Cl2]Cl}: Octahedral with two different ligands — exhibits geometrical isomerism (cis/trans).
\item II. \ce{[Co(NH3)4Cl2]Cl}: Octahedral, square planar-like — exhibits geometrical isomerism.
\item III. \ce{[Co(en)3]Cl3}: Tris-chelate complex with symmetrical bidentate ligands — does not show geometrical isomerism.
\item IV. \ce{[Co(en)2Cl2]Br}: Octahedral with two Cl ligands — exhibits geometrical isomerism.
\end{itemize}
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