Step 1: The compound given is Ph\(_3\)PCl\(_2\), which is triphenylphosphine dichloride. It has the structure where phosphorus is bonded to three phenyl groups and two chlorides.
Step 2: When Ph\(_3\)PCl\(_2\) reacts with a primary aromatic amine (PhNH\(_2\)), nucleophilic substitution takes place. The amine nitrogen attacks the phosphorus center, leading to displacement of chloride ions.
Step 3: After elimination of two molecules of HCl, a double bond between P and N is formed, yielding a phosphinimine derivative.
\[
\text{Ph}_3\text{PCl}_2 + \text{PhNH}_2 \;\;\longrightarrow\;\; \text{Ph}_3\text{P}=\text{NPh} + 2\text{HCl}
\]
Step 4: Thus, the primary product of this reaction is \(\text{Ph}_3\text{P}=\text{NPh}\), which corresponds to option (A).