Chief Judicial Magistrate Narender Kumar has allowed the agency's plea of conducting the polygraph test on the accused after he refused to cooperate in the case.
Accused Praveen, a former village head, has claimed that he has been falsely implicated by the victim's family.
Riya, a student of BA, was shot dead and her father Suresh Pal injured at Mutbhar village under Bhorakala police station in the district on March 10.
The police later had registered a case against four people including the former 'gram pradhan' (village head) in this connection. Later a CBI inquiry was ordered into the case by the Supreme Court.