Concept:
The properties described—forming a monoxide and nitride, having an amphoteric oxide, and converting to chloride via carbon/chlorine heating—are classic markers of Beryllium (Be).
Step 1: Analyze the characteristics of Element X.
Element X forms monoxide (BeO) and nitride (\(Be_3N_2\)).
The oxide BeO is amphoteric.
The conversion of oxide to chloride is a standard industrial process for Beryllium:
\[
BeO + C + Cl_2 \rightarrow BeCl_2 + CO
\]
Step 2: Compare with properties of Group 2 elements.
Beryllium is the first element of Group 2. It exhibits a diagonal relationship with Aluminium (Group 13), sharing several chemical similarities such as amphoteric oxides and the ability to form covalent compounds.
\[
\boxed{\text{X shows diagonal relationship with aluminium}}
\]