Hii!
You didn't mention what exactly is the difference in your father's name in your aadhar card and the class 10th certificate. But, usually, your class 10th details will be considered in any future endeavors. The aadhar card details are required to confirm your identity. So, you don't need to worry too much about it. We will be able to provide you with more information, if you mention the question in detail.
Hope this helps.
Good luck!