Increase of 3000 seats is not sufficient as compared to your rank. It is quite impossible to get chance in government colleges with this rank unless you belong to north east India. But don't be disappointed. You can go for private engineering colleges.
Following are some of the best private engineering colleges in India.
However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
All the best.
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