"BJP leader Prem Shukla reportedly made an objectionable remark during a live political debate on Tuesday. He stated that he would reveal things about Pathak which would embarrass her," police said.
Pathak alleged that there was a derogatory remark on women's dignity.
An FIR has been lodged against Shukla in this connection at Noida, Sector 58 police station, they said.
"A complaint has been received and the matter is under investigation," Zaheer Khan, SHO of the police station said.