Concept:
Square planar complexes generally show \(\text{dsp}^2\) hybridisation.
In \([\text{Ni}(\text{CN})_4]^{2-}\), cyanide ion is a strong field ligand and causes pairing of electrons.
Step 1: Find oxidation state of Ni.
Let oxidation state of Ni be \(x\).
\[
x + 4(-1) = -2
\]
\[
x - 4 = -2
\]
\[
x = +2
\]
So Ni is \(\text{Ni}^{2+}\).
Step 2: Write electronic configuration of \(\text{Ni}^{2+}\).
Nickel atom:
\[
\text{Ni} = [Ar]\,3d^8 4s^2
\]
So,
\[
\text{Ni}^{2+} = [Ar]\,3d^8
\]
Step 3: Use ligand strength.
\(\text{CN}^-\) is a strong field ligand, so it causes pairing of electrons and gives square planar geometry.
Square planar geometry corresponds to:
\[
\text{dsp}^2
\]
Hence, the correct answer is:
\[
\boxed{(B)\ \text{dsp}^2}
\]