Hello Shivam,

If your parents are from UP(holding UP domicile) and you have passed the exam then you don't need a domicile certificate.

In case, your parent (s) is not a domicile of UP and you have passed the qualifying exam from an institution outside UP, you can also take the exam. However, you will then be considered for admission to only 10% of the sanctioned seats available in private institutions affiliated to AKTU. Also, you will not be offered any reservation benefits under this option. 

For more information visit - https://engineering.careers360.com/articles/upsee-eligibility-criteria