Pavani, your State of Eligibility shall be AP because you have stayed in AP for more than 10 years. You can check the complete eligibility criteria for claiming AP domicile for NEET State Quota at our page: https://medicine.careers360.com/articles/ap-mbbs-admission . You will have to participate in All India Counselling for securing a MBBS seat in Telangana. You can check their domicile criteria at: https://medicine.careers360.com/articles/telangana-mbbs-admission