Hello aspirant,
Your General category rank in JEE Mains is very low. With this you may not get into the top engineering government or Private institutions. You can however, try availing your state quota and see how that works out for you.
Do remember that every year the cutoffs and the availability of seats in the successive rounds of counselling vary, so I would suggest you to wait till counselling ends.
To know more about the list of colleges that you can get into, use the college predictor tool given below:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this helps you. All the best!
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