The girl left behind a note in which she alleged that her ex-boyfriend was responsible for her taking the extreme step, they said.
In the note, she also wrote that her former boyfriend had threatened to leak their pictures and videos online if she did not agree to leave her family for him, police said.
The girl's family claimed that she had filed a rape case against her ex-boyfriend at Model Town Police Station but no action was taken, they said.
Police teams have been sent to nab the man who is a native of Patna, they said.
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The girl was a BCom student of Search Results School of Open Learning under Delhi University. She came to Delhi from Madhya Pradesh to pursue graduation and fell in love with the accused. The two lived in the same area and had planned to get married. However, they broke up later, police said.
A case of abatement to suicide has been registered against the accused, the officer said.