@Vinay Ji:- This situation is possible where a widow is remarried and wants to update/change her kid's(from earlier wedlock) fathers name.
@Mehul Ji:-All subsequent Edu. records follow information mentioned in 10 Marksheet and usually upto 2 years, you can get rectification in it, but it varies Board to Board.
In case kid have not completed his 10th, its easy task. But after it, its little ache. I suggest to first make an application to concerned board director, thereafter you might need to provide some declaration etc.