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The incident was reported from Najafgarh on Saturday night and the deceased has been identified as Pinky.
Vicky (30) surrendered before police on Sunday morning.
Pinky's family alleged that Vicky used to beat her for dowry, police said.
Vicky said that he had a heated argument with his wife, who was four-month pregnant, and after she went to sleep, he strangled her, police claimed.
The couple had a three-year-old daughter.