Hello Aspirant,
If you have been allotted a seat in any of the NITs in India you ca report in your nearest NITs. For JOSAA counselling you need to report to any of the reporting center near or convenient to you. For your understanding all NITs as a family, all IITs as a family, all IIITs as a family. So, document verification by an NITs won't work for IIT admission similarly, and vice versa. So, go for NITs near you for document verification.
Hope this helps you.
All the Best!!!
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