The complaint was filed by Bhartiya Janta Yuva Morcha (BJYM) national media coordinator Shivam Chhabra and Parekhseet Dagar at the DCP (South) office.
"Umar Khalid is 'constantly flooding' the social media platforms with 'anti-national' comments. He is constantly posting derogatory comments against the Indian government on the killing of terrorist and Hizbul Mujahideen commander Burhan Wani," alleged the complainants.
They also accused the JNU student of trying to "incite" feelings of "hatred and contempt" of the public against the Armed Forces and "indirectly" against the government of India, demanding his arrest under charges of sedition (Section 124 A of IPC).
"We have received the complaint and are looking into it," said a senior police officer.
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Umar had courted controversy for being one of the organisers of the controversial event in JNU against hanging of Parliament attack convict Afzal Guru during which anti- national slogans were allegedly raised. He was later arrested in this connection under charge of sedition.
Out on bail, he kicked off another controversy by comparing Wani with a revolutionary.
Umar could not be reached for his comments despite several attempts.