The 17-year-old boy claimed he was approached by the woman through a Facebook profile titled "Zinda" and they became friends, police said.
They met today and went to a hotel in Vasant Kunj area where they allegedly indulged in sex. The woman later called the police and accused the boy of raping her, a senior police officer said.
However, the boy claimed that the woman had offered him to enter into a physical relationship and he initially spurned the offer. But she later lured him into it, the officer said.