The woman was distressed for not being able to get good treatment for her 3-year-old daughter and one-and-a-half-year-old son, Shokat Ali, Circle In charge, RK Puram police station said.
In an act of desperation, she choked them to death before consuming poison herself. She also had a heated argument with her husband before taking the extreme step, police said.
The woman was rushed to a hospital and her condition is stable, they said.
Meanwhile, the woman later told investigating officer Abdul Rasheed that her children had been suffering from some prolonged disease with no cure in sight, and that she would often have arguments with her husband over his inability to provide better treatment to the kids.
"Eventually, I decided to kill myself and my kids so that we can get rid of the disease for good," she said.
The couple belongs to Madhya Pradesh, police said, adding they were working as daily labourers in the city.
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