Step 1: Understanding homoleptic and cationic complexes.
A homoleptic complex is one in which all the ligands are the same. A cationic complex has a positive charge. The complex [Fe(H\(_2\)O)\(_6\)]Cl\(_3\) is homoleptic (all water ligands) and cationic (having a positive charge).
Step 2: Analyzing the options.
(A) [CoCl\(_2\)(en)\(_2\)]Cl: This is a heteroleptic complex (with both chloride and ethylenediamine as ligands) and is not cationic.
(B) [Fe(H\(_2\)O)\(_6\)]Cl\(_3\): Correct — This is homoleptic and cationic in nature.
(C) K[Ag(CN)\(_2\)]: This is a heteroleptic complex with cyanide and not cationic.
(D) [Fe(CO)\(_5\)]: This is homoleptic, but it is neutral, not cationic.
Step 3: Conclusion.
The correct answer is (B) [Fe(H\(_2\)O)\(_6\)]Cl\(_3\), as it is homoleptic and cationic.