According to police, the accident took place at about 6.05 pm in the evening when they were walking towards Sector 27 and were hit from behind by a car.
The car hit the duo and the fled the scene. The impact of the car with the two was so intense that the number plate of the car broke into pieces in the spot.
However, the registration number could not be noted down by any passerby, said the police.
The injured, 45-year-old Parvati and her son 13-year-old Vipin, residents of Sector 27, were taken to GMCH-32 where the boy was being operated upon till the filing of this report and the mother had also received injuries on her face and her teeth were broken.
The family members had reached the hospital where the two were undergoing treatment.
Police officials said that the doctors have declared them unfit for giving a statement and investigations are on in the case.