Step 1: Understanding the Concept:
Steric number = number of bond pairs + lone pairs = hybridisation.
Step 2: Detailed Explanation:
PCl\(_5\): P has 5 bond pairs, 0 lone pairs \(\Rightarrow\) SN=5 \(\Rightarrow\) sp\(^3\)d.
PCl\(_4^+\): P has 4 bond pairs, 0 lone pairs \(\Rightarrow\) SN=4 \(\Rightarrow\) sp\(^3\).
PCl\(_6^-\): P has 6 bond pairs, 0 lone pairs \(\Rightarrow\) SN=6 \(\Rightarrow\) sp\(^3\)d\(^2\).
Step 3: Final Answer:
Thus, hybridisation: sp\(^3\)d, sp\(^3\), sp\(^3\)d\(^2\).