Metropolitan Magistrate Ambika Singh sent 32-year-old Shiv Kumar Yadav in police custody till December 11 after the police said he was required to be interrogated for recovery of a mobile phone used by him.
Yadav refused to undergo Test Identification Parade (TIP), a process under the criminal law through which a victim identifies an accused.
Yadav, who was arrested from Mathura in Uttar Pradesh by a joint team of Delhi and Uttar Pradesh Police, was produced before the jampacked court with his face muffled amid tight security.
During the hearing, the police sought his custodial interrogation contending that he was required to be questioned to unearth the entire chain of events which led to the incident. The mobile phone, which he was using, also had to be recovered at his instance, it said.
The police said that Yadav was a repeat offender and had spent seven months in jail in an another rape case which was filed against him in south Delhi's Mehrauli area in 2011.
It said that the accused has claimed that he was later on acquitted in the rape case. He was brought to Delhi last night after being arrested from Mathura, about 160 kms from the national capital.
Yadav allegedly raped the woman at around 9:30 PM on Friday when the victim, who works for a finance company in Gurgaon, was heading back home in north Delhi's Inderlok area.
As a massive search operation involving 12 Delhi police teams was on in Mathura and other parts of Uttar Pradesh to nab the accused, Delhi Police had also announced a cash reward of Rs one lakh for his arrest.
The Delhi government today banned all operations by private cab service provider Uber with immediate effect and blacklisted it from providing any transport service in the city in the wake of the alleged rape incident.