Hello Aspirant,
As you are having domicile certificate of Bihar so you will definitely be eligible for Home state quota of NIT Patna even if you complete your class 12th from Delhi, because during JOSAA counselling your Home state is not considered from your state code of eligibility but it is considered from your domicile so as you holds the valid domicile certificate of Bihar so you can definitely get the benefit of Home state quota for NIT Patna on the basis of your JEE-Main score.
I hope this information helps you.
Good Luck!!!
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