The 15-year-old boy is the prime suspect in the police investigation in the alleged killing of the mother-daughter duo on Monday night.
But the family members said the boy can not kill anyone.
Post-mortem examinations of the two bodies have revealed the woman, Anjali Agarwal, had seven injury marks on her head, while the daughter, Kanika, had five injury marks on her head.
The woman's husband Soumya Agarwal said: "My son can not kill his mother and sister. I appeal him to come home and he should not be afraid. He should come and tell the truth."
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Grandfather Suresh Agarwal said his grandson can not commit murder.
The boy's last location was traced to Chandi Chowk in Delhi through the mobile phone he was carrying with him.
He has taken Rs two lakh cash from the home.
A police investigation revealed the boy used to play a crime-gangster game on mobile phones. The game was found on other similar electronic devices in the house.
Akhilesh, a relative of the boy, said till he is found and he tells the truth he should not be treated as an accused.
He has not taken any clothes from the house.
SSP Love Kumar said: "Four teams have been formed to trace the boy. We hope to trace him soon. Only he can tell the truth about what happened inside the apartment.