The incident took place yesterday when two men in a car came to the victim's house and abducted her on gunpoint, police said.
When the girl's mother tried to stop them, they injured her, police said.
A complaint regarding this has been lodged by the victim's father, who has named Sarfaraz, a Meerut resident, and his accomplices for the crime, they said.
The case is being investigated from all angles, including love affair, they added.