Step-by-step solution
For [ Pt ( Cl _2)( NH _3)_2], Pt is in +2 oxidation state. Pt(II) complexes are generally square planar with dsp^2 hybridization. For [ Co ( NH _3)_6] Cl _3, Co is in +3 oxidation state. With a coordination number of 6, it forms an octahedral geometry. For [ NiCl _4]^ 2- , Ni is in +2 oxidation state (3d^8). Since Cl ^- is a weak field ligand, no pairing of electrons occurs, resulting in sp^3 hybridization and a tetrahedral geometry. For [ Fe ( CO )_5], Fe is in 0 oxidation state. With a coordination number of 5, it forms a trigonal bipyramidal geometry with dsp^3 hybridization. Therefore, the correct matching is A III, B I, C IV, D II. Answer: A-III, B-I, C-IV, D-II