Step 1: Sentence (i) – "John broke the window."
- Underlined NP: \emph{John}
- Syntactic role: subject (because John is the subject of the verb "broke").
- Semantic role: agent (because John is the intentional doer of the action).
\(\Rightarrow\) X\textsubscript{1} = subject, Y\textsubscript{1} = agent.
Thus, (A) is correct.
Step 2: Sentence (ii) – "The window broke."
- Underlined NP: \emph{The window}
- Syntactic role: subject (since "the window" is in subject position).
- Semantic role: patient/theme (because it undergoes the breaking, not an agent).
\(\Rightarrow\) (B) is incorrect because it wrongly labels "the window" as object.
\(\Rightarrow\) (D) is also incorrect because "the window" is not an agent.
Step 3: Sentence (iii) – "The stone broke the window."
- Underlined NP: \emph{The stone}
- Syntactic role: subject (grammatically it appears in subject position).
- Semantic role: instrument (the stone is the means by which the window is broken).
\(\Rightarrow\) X\textsubscript{3} = subject, Y\textsubscript{3} = instrument.
Thus, (C) is correct.
\[
\boxed{Correct Answer: (A), (C)}
\]