No, you wouldn't need an equivalence certificate for NEET UG counselling in Telangana if you've passed your qualifying exam (Class 11 & 12) from a board recognized by the Telangana government or any national board like CBSE or ISCE.

The eligibility criteria for NEET UG counselling typically specify documents required from candidates. Equivalence certificates are usually required when your qualifying exam board is different from the state board conducting the counselling.

Since you are a resident of Telangana and presumably passed your qualifying exams from a board recognized in Telangana, an equivalence certificate wouldn't be necessary for the Telangana state quota seats in NEET UG counselling.

https://medicine.careers360.com/download/ebooks/neet-ug-2017-exam-analysis

I hope it helps!