Step 1: Identify polymer type.
Terylene (PET) is a polyester formed by condensation of terephthalic acid and ethylene glycol, containing repeated \(-\mathrm{COO}-\) (ester) linkages.
Step 2: Eliminate others.
Nylon: polyamide (\(-\mathrm{CONH}-\)) linkages.
Teflon: addition polymer of \(\mathrm{CF_2{=}CF_2}\), no ester.
Bakelite: phenol–formaldehyde resin (ether/methylene bridges), no ester.
Step 3: Conclusion.
Hence, Terylene contains ester linkages.