The victims have been identified as Sanjay (50), his wife Jyoti (48) and their son Pawan (21).
"A triple murder has taken place in which Sanjay, his wife and their son have been strangulated. We are looking for the reason behind the murder.
"There is a possibility that they were murdered last evening and the information was received today morning. The house was ransacked so we are taking this angle into consideration," S K Gautam, Joint Commissioner of Police (Central Range), said.
According to the police, the matter came to light around 8.50 AM when the domestic help of the family entered the house and discovered the bodies of Jyoti and Pawan in the apartment on the third floor of a building and raised an alarm, following which the police was informed.
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A team was rushed to the spot and a case of murder registered.
Soon, a crime team was sent to the spot to trace out intricate evidences and a thorough inspection was conducted in the apartment, during which Sanjay's body was found shoved inside a closet.
The neighbours informed the family's relatives and the bodies were sent for post-mortem examination.
Sanjay was a government official and also dealt in properties. It is suspected that he was involved in a long-standing property dispute with someone known to the family.
However, these details are yet to be verified.
Investigation is underway and the police are questioning people close to the family, an official added.