Dear Alok, both Maharashtra and UP do not have Institutional quota. Institutional quota means you get to claim 85% State Quota from the State you have completed your 10+@. Now because either Maharashtra or UP do not have Institutional Quota, you have to appear for State Counselling of the State that you are a native of and hold the domicile of. Now as you have UP domicile, though you havent studied your 10+2 in UP, you shall still have to participate in UP State Counselling. That is your only option. You will be eligible for UP 85% State Quota.