Step 1: Meaning of \(\omega\)-amino acid.
In \(\omega\)-amino acids, the amino group is attached to the terminal carbon atom farthest from the carboxyl group.
Step 2: Structure of caproic acid.
Caproic acid is hexanoic acid, having six carbon atoms.
Step 3: Position of amino group.
For \(\omega\)-amino caproic acid, the –NH\(_2\) group must be attached to the terminal carbon, giving the structure:
\[
\mathrm{H_2N-(CH_2)_5-COOH}
\]
Step 4: Conclusion.
Option (A) correctly represents \(\omega\)-amino caproic acid.