In her statement to Bangalore CID, probing the case, Ranjitha rejected charges of sexual harassment by Nityananda and said the woman shown on the video was not her.
She denied any sexual relations with Nityananda and said that she had "only visited Nityananda's room once or twice", CID sources told PTI.
On the video footage aired by regional TV channels, purportedly showing her in a compromising position with Nityananda, Ranjitha said "the entire video is morphed".
The sources said the forensic science laboratory's analysis of the tapes has, however, concluded it was not morphed, "indicating that Ranjitha is not coming out with the truth".
Based on the statement by Lenin Karuppanan, a former disciple of Nityananda and video footages, Chennai Police had registered a case of rape against Nityananda in March and later transferred it to Karnataka Police.
CID, which filed Ranjitha's statement through a memo before the Karnataka High Court today, sought four weeks time to record statements of two more former devotees living in the US in the wake of allegations that they were subjected to "unnatural sex" by Nityananda.
CID SP K N Yogappa said the agency would seek Centre's permission to go to the US to try and bring back Nitya Vimalananda and Nitya Gopika here to record their statements.
Nityananda in a broadcast on YouTube had described the actress as a "sincere and humble devotee" and that he was gravely hurt by the pain caused to her and her family.
Nityananda, who has resumed his preaching, had also referred to Ranjitha as "a wonderful devotee who has done much voluntary work for the organisation".