***** I am not a teacher *****

Originally Posted by
muktha
1. I need to get a NOC from the department, for the registration of vehicle under personal name.
I need to get an NOC from the department for the registration of a vehicle under my name. (An NOC because the letter N is pronounced en — unless the three letters are pronounced as an acronym, noc, in which case a NOC is correct).
If the vehicle was mentioned before that sentence, then a vehicle should be the vehicle.
If the vehicle is to be registered under a name other than your own, the sentence should conclude ". . . under a personal name." If it is to be registered under your own name, "my name" is sufficient; "my personal name" is redundant.
Further to the a NOC versus an NOC, depending on whether the letters are pronounced separately or as a word, I presume the other party knows what NOC means (I haven't a clue). If that is uncertain, it would be best to spell it out the first time it is used. Any subsequent use of NOC would be self-evident.