Hey Darni Niharika,

Yes, You can absolutely get free seat since your rank is below 10,000. You’ll get full fee reimbursement only when you submit income certificate at the time of counselling. Anyways for your rank you have maximum chances to get admission in the below mentioned colleges,

1. JNTUK college of engineering, Kakinada

2. RVR and JC Engineering College 

3. JNTUK College Of Engineering, Viziangaram

4. SVU College Of Engineering 

5. Gayathri Vidya Parsihad college of engineering

6.AU College Of Engineering 

7. V Siddhartha Engineering college 

8. SRKR Engineering college. 

You can also predict the college by using your rank here:

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

To stay updated about counselling dates you can check here:

https://www.google.co.in/amp/s/engineering.careers360.com/articles/ap-eamcet-counselling/amp