Occupants of both the BMW and the Renault Duster escaped with minor injuries, police said.
A case of rash and negligent driving has been registered against one Aryan, who was driving the BMW, at Sarojini Nagar police station after initial investigations revealed that he was speeding.
According to police, the Renault Duster into which the BMW rammed was being driven by one Aadil Amin, a final-year MBBS student at Vardhman Mahavir Medical College of Safdarjung Hospital. He lives in the college hostel.
Aryan and his female companion were taken to AIIMS trauma centre for treatment while Amin went to Safdarjung Hospital.
"They were discharged after being given first aid," the official said.
According to the official, both drivers tested positive for alcohol.