Hello Chirag.
In a case such as yours, choose the domicile of your home town in order to avail a seat during the state counselling procedure.
You can't apply for seat in both the states although you have a domicile because it might create some sort of discrepancy during the procedure of seat allotment.

I would suggest you to go through the different colleges and cutoffs of both the states and then apply for counselling in a way which suits you the best

I am providing you with the link of cutoffs of both the states so that you can tally it yourself and hence make a wise choice.

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-haryana/amp

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-bihar/amp

Hope you get the best out of it.

Good Luck !

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