Hello Charitaa!
There are many open universities offering psychology near Hyderabad. Some of them are -
1. Dr B.R Ambedkar Open University, Telangana
2. Indira Gandhi National Open University, Hyderabad
3. Osmania University, Telangana
4. Siddhartha degree College, Telangana
5. Presidency college of arts and science, Telangana
Etc., You can choose to take admissions in any of the colleges.
Although, you get psychology only as an optional subject at undergraduate level along with some main subjects. So please see to that by visiting the official website of the college you prefer before applying. Hope this helps.
Good luck!
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