The driver was under the influence of alcohol, said Aslam Khan, Deputy Commissioner of Police (Northwest).
Police said the woman driver was arrested after being discharged from the hospital.
She had a learner's license. The car belonged to Dahiya's father. The friends were returning from a fest in Amity, Noida when the incident happened. They had come to Delhi University for a drive, they said.
After the car hit the pole it somersaulted twice before coming to a halt.
Dahiya was a student of Sri Venkateswara College while the three women were students of Amity University, Noida.
Siddharth was a student of Maharaja Surajmal Shiksha Sansthan.