If you have discontinued your intermediate there is no problem of getting migration certificate. You will get the migration certificate on the basis of high school examination. So, Contact your school principal, he will guide you for getting migration certificate. There are two options.
To apply online for the same, please visit the official site of the board of X exam passed. then click apply for migration certificate. The new window will ask you the roll number of 10 class. Please enter the roll number. It will take other information automatically. Scan the required documents such as mark sheets, adhaar card, T.C, etc and pay for the required fees. After that, submit your application. You will get your migration certificate within two weeks.
To apply for offline, go to the board office. The clerk will provide you a form please fill the form, attached the photocopies of required documents, pay fees through challan (the bank will be there to make challan), and submit all these things to the clerk. After two weeks you will get migration certificate at your home through postal service.
Honesty is the best policy.