Concept:
Ligands and coordination compounds are classified according to the number and type of donor atoms.
Important definitions are:
• Homoleptic complex – contains only one kind of ligand.
• Heteroleptic complex – contains two or more different kinds of ligands.
• Bidentate ligand – has two donor atoms.
• Hexadentate ligand – has six donor atoms.
Step 1: Match Homoleptic and Heteroleptic complexes.
A homoleptic complex contains only one type of ligand.
Hence,
\[
\boxed{A\rightarrow III.}
\]
A heteroleptic complex contains different kinds of ligands.
Hence,
\[
\boxed{B\rightarrow I.}
\]
Step 2: Match denticity of ligands.
A hexadentate ligand has six donor atoms.
For example,
\[
\boxed{\text{EDTA}.}
\]
Therefore,
\[
\boxed{C\rightarrow IV.}
\]
A bidentate ligand has two donor atoms.
For example,
\[
\boxed{C_2O_4^{2-}}
\]
or ethylenediamine.
Hence,
\[
\boxed{D\rightarrow II.}
\]
Step 3: Determine the correct matching.
Thus,
\[
\boxed{
A-III,\;
B-I,\;
C-IV,\;
D-II
}
\]
which corresponds to
\[
\boxed{\textbf{Option (A)}}
\]
according to the given options.