Hello Prabhat,

I assume that you are talking about the UPSEE exam as that is the exam through which AITH takes admissions to its undergraduate courses. Now, taking into account the rank that you have secured and your category, you should definitely be able to get admission in AITH.

Some more information about UPSEE:

The Central Admission Board conducted the Uttar Pradesh Engineering Entrance Exam (UPSEE) on April 21, 2019. The answer keys have been released. The candidates have to apply via the online mode by filling the application form. The candidates could also register as EWS candidates and the candidates who had already registered before March 15th were also allowed to change their category to EWS. 
For more information, follow the below link:
Https://engineering.careers360.com/articles/upsee