For some time, in Mavericks, I had an option, which I had disabled, in Users & Groups > Password to reset the password using Apple ID
This option vanished after a migration, under Mavericks, to a new machine
and remains absent after an update to Yosemite
So I can't tell: Can a I reset my password using my Apple ID or not?
I had explicitly disabled this earlier for security reasons, but now I can't tell whether it has been enabled or not (or how I'd change it if I wanted to).