The accused strangulated his wife as he suspected her of infidelity, they said.
On Sunday, the body of a woman was found at her home in Amberhai village in southwest Delhi's Dwarka. The woman lived with her husband and three children.
Neighbours informed the police that a quarrel had taken place between the couple on Saturday. They also told the police that they had seen the accused leaving the home on Sunday.
Six teams were constituted to nab the accused, said Shibesh Singh, the Deputy Commissioner of Police (Southwest).
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One of the teams was sent to his native village in Bihar while three other teams were sent to the New Delhi, Old Delhi and Anand Vihar railway stations, he said.
The accused was subsequently arrested yesterday from Amberhai village here.
He revealed that he suspected his wife of being in an extra-marital relationship, said the DCP.
The couple had an altercation and he killed his wife, the police said.