Hello! Naveen.Yes you can take admissions into the private collages of Andhra Pradesh(A.P.), bcause Government colleges state quota is restricted to state domicile only.Anybody from any corner of India can join any other state private colleges of India.State colleges first preference are to the state students(having state domicile).

You can visit this link for more information-

https://www.google.com/amp/s/engineering.careers360.com/articles/btech-admissions-for-other-state-candidates/amp

Hope this helps!