Hey
No, 11th marksheet is not required in NEET counselling. I have mentioned some of the documents that will be required during the counselling.

• MBBS admissionapplication form
• NEET Hall Ticket
• Rank Card and Score Card
• Date of Birth (D.O.B.) Proof
• Provisional Seat Allotment Letter
• Cast Certificate (if you belongs to a category)
• Class 10 Marksheet and Passing Certificate
• Class 12 Marksheet and Passing Certificate
• AADHAR Card (address proof)
• Character Certificate
• Transfer Certificate
• Migration Certificate
• Domicile Certificate
• Family Income Proof
• Parents PAN Card copy
• Parents address and identity proof
• At least 8 passport size photos of candidates(recent one)

For more details regarding the same you can refer the link.
https://www.google.com/amp/s/medicine.careers360.com/articles/neet-counselling/amp

I am assuming from your question that you have given Neet 2021 so you can also use the college predictor tool from where you can predict all possible colleges that you might get with your score this year.
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

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