According to the father of the girl, who lives in the neighbouring Shajahanpur district, Asaram's supporters visited the house of one of their close relative in Delhi on Tuesday and advised them to ask him to desist from demanding CBI inquiry into the case or else their "seven generations would be finished".
"They said that they would deal with whatever has happened till now... If we did not shut our mouth, not one in seven generations would be let off," he said.
"The threat had a big impact also on our relatives and they are also worrying for their security," the father of the 16-year-old girl said, adding that he has apprised the police of the new threat and demanded adequate security.
Fearing more threats, he has also switched off his mobile phone.
Security has already been provided to the family and entry of the visitors to their house was being monitored. Seventy-two-year-old Asaram has been accused of sexually assaulting the girl at his ashram in Jodhpur.
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