Hi ,as per your query I would like to tell you that there is no as such concept of  free seat in Colleges . College are divided into private colleges, government colleges and deemed or central universities. Government colleges have the lowest fees as compared to other colleges. Counselling is done under 15% all india quota and 85% state quota. Going for seat under 85%state quota increases your chances of getting a seat. You have not mentioned your state of which you have domicile as cutoff varies on the basis of state as well. 450 is too less to get you a seat even if you belong to ews category . You need to score a minimum of 475-500 marks to increase your chances of getting a seat.
Hope this helps

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