Identify the correct match from the following for coordinate...

For $[\text{Ni}(\text{CN})_4]^{2-}$, $\text{Ni}^{2+}$ has a $3d^8$ configuration. $\text{CN}^-$ is a strong field ligand, causing pairing of electrons. The hybridization is $dsp^2$, resulting in a square planar geometry. Thus, (A) matches with (IV).

For $[\text{Ag}(\text{NH}_3)_2]^+$, $\text{Ag}^+$ has a $4d^{10}$ configuration. With a coordination number of $2$, the hybridization is $sp$, resulting in a linear geometry. Thus, (B) matches with (II).

For $[\text{Ni}(\text{Cl})_4]^{2-}$, $\text{Ni}^{2+}$ has a $3d^8$ configuration. $\text{Cl}^-$ is a weak field ligand, so no pairing occurs. The hybridization is $sp^3$, resulting in a tetrahedral geometry. Thus, (C) matches with (III).

For $[\text{Fe}(\text{CO})_5]$, $\text{Fe}$ is in the $0$ oxidation state with a $3d^6 4s^2$ configuration. $\text{CO}$ is a strong field ligand, causing pairing of electrons to give a $3d^8$ configuration. The hybridization is $dsp^3$, resulting in a trigonal bipyramidal geometry. Thus, (D) matches with (I).

The correct match is (A) - (IV), (B) - (II), (C) - (III), (D) - (I).

Answer: (A) - (IV), (B) - (II), (C) - (III), (D) - (I)