Step 1: Recall that $sp^3d^2$ hybridisation corresponds to an octahedral geometry.
Step 2: Examine each complex:
[CoF$_6$]$^{3-$}
Cobalt is surrounded by 6 ligands, forming an octahedral complex.
Hence, it shows $sp^3d^2$ hybridisation.
[Ni(CO)$_4$]
This complex is tetrahedral in shape and shows $sp^3$ hybridisation, not $sp^3d^2$.
[Co(NH$_3$)$_6$]$^{2+$}
This is also an octahedral complex and shows $sp^3d^2$ hybridisation, but since only one correct option is to be chosen, option (A) is taken as the correct answer.
Step 3: Option (D) is incorrect because [Ni(CO)$_4$] does not show $sp^3d^2$ hybridisation.