Hey! There
No,you can't change the state of elligibility after getting admit card as you have already lost the opportunity of changing state of elligibility in correction period.Also state of elligibility is considered that state from where you have completed 10+2 th board.So,state of elligibility criteria is decided by your 10+2th board.In case of cbse board,your 10+2th school will determine your state of elligibility and in case of 10+2th state board,your state board will decide your state of elligibility..In order to change the state of elligibility you have to change your school name from where you are pursuing or have pursued 10+2th board .
I hope this helps..

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