Hello aspirant, your rank is too high you have very less chances of getting seat in Minority College in Hyderabad based on previous years cutoffs. Cutoffs vary from year to you. So also apply for other private colleges.

Click below links for more details.

https://www.careers360.com/ts-eamcet-college-predictor

https://engineering.careers360.com/articles/ts-eamcet/amp

Good Luck.