Dear Aspirant,
As per the UPSEE brochure,supplementary exam is not acceptable there.You have to pass 12th exam clearly from any recognised board ,clearly means without any grace.so this year you are not eligilble for upsee counselling.For more detail please check the link below.
https://upsee.nic.in/publicinfo/Handler/FileHandler.ashx?i=File&ii=265&iii=Y (Brochure link)
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