You want to transfer from state board to state board mid term in your 11 standard. Usually transfers in the middle of an academic year are very difficult unless there is a genuine reason (transfer of parent's workplace in government of private sector). I would suggest please do not take decisions in haste. Check with the current college principal and the college you have selected in Indore. You will need Transfer certificate, Character certificate, Migration certificate and the previous years marks cards (which would be 10 standard).
I would suggest that you get clear information from both boards
1. Present college city office
Divisional Chairman / Secretary
Maharashtra State Secondary & Higher Secondary
Education Board, Divisional Board, Nagpur
Civil Lines, Nagpur - 440001
(Off.) 0712 - 2560209
2. Future college city office
43/B, 44, Netaji Subash Marg, Chiman Bagh, Indore, Madhya Pradesh 452003
Phone:0731 253 1988 OR
3. Future college state office
MP Board of Secondary Education
Shivaji Nagar, Bhopal - 462011
Phone No:0755- 2551166-71
Only when your current college agrees to issue you all the certificates above and the new college accepts your application, then initiate the transfer process or plan for completing 11th and college change for 12th, then it is much easier.