Step 1: Understanding the Concept
The hybridisation depends on the oxidation state of the metal and whether the ligand is strong field or weak field.
Step 2: Oxidation State and Configuration
In \([\text{CoF}_{6}]^{3-}\), \(x+6(-1)=-3\), so \(x=+3\).
\(\text{Co}^{3+}\) is \(3d^{6}\).
Step 3: Effect of the Ligand
\(\text{F}^{-}\) is a weak field ligand and does not pair the \(3d\) electrons.
The inner \(3d\) orbitals are therefore not free.
Step 4: Hybridisation
Cobalt uses one \(4s\), three \(4p\) and two \(4d\) orbitals.
This gives \(sp^{3}d^{2}\) (outer orbital, octahedral).
Final Answer:
The complex has \(sp^{3}d^{2}\) hybridisation, option (B).
\[ \boxed{\text{(B) }sp^{3}d^{2}} \]