Hey Pratik.

See the rank u have secured is enough for h to grab seat in these private college as they give preferences to the JEE mains qualifiers and also the seats are filled until they are full so u can also use management quota if in case it comes any necessity. I m providing u a link for ur help.

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp&ved=2ahUKEwjy4639hKLiAhUF6nMBHa0HBQMQFjAJegQIAhAB&usg=AOvVaw2OXl9cMS4B7GJ9DfTIJZCg&ampcf=1

Ask if any query. Good luck