Nagar claimed he had consensual relations with the rape complainant woman for over three years.
CBI had arrested Nagar on Friday on charges of raping and assaulting the 35-year-old woman last month.
Nagar was produced in CBI court here amid tight security.
His counsel A K Jain said that Nagar and the woman had consensual relations for over three years and her allegations were part of a conspiracy against Nagar.
He also moved a application requesting the CBI court for permission to meet Nagar in custody and for providing him medicines and food prepared at home.