I believe since you have completed your 10th and 12th from Karnataka and perhaps have been living in Karnataka for the last 10 years as your Permanent Address on Aadhar Card will suggest, in spite of the fact your parents are from Tamil Nadu, you will be able to access Karnataka Domicile and state quota advantage and not that of Tamil Nadu. Hence  if you apply for Tamil Nadu State Counselling you wont get the State Advantage.