Hello Aspirant,
See after passing class 10th, usually your class 10th marksheet is considered as your Birth certificate so wherever required you can submit your class 10th marksheet as your birth certificate but if anywhere your actual birth certificate will be demanded then you can use an affidavit with it regarding the correct name of your Father. As you have mentioned that for medical counselling you are concerned so during medical counselling your DOB certificate will be considered as your class 10th marksheet so you don't have to worry for it but if still you wants to resolve the issue of your Birth certificate then you can use a valid affidavit with it.
I hope this information helps you.
Good Luck!!
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