The woman, a housewife, identified as Rajani, broke a glass bottle and slit throats of her two daughters aged eight and three, last night at her residence in Teacher's Colony here and left the house, Tukaramgate Police Station Inspector T Laxmi Narayana, told PTI.
Both girls died on the spot, he said.
Her husband, Vinay, a businessman, who returned to the house at around 9.30 PM, did not find his wife but noticed the bodies of his daughters lying in a pool of blood in the bedroom and informed the police, Assistant Commissioner of Police (Gopalpuram Division) K Shiva Kumar said.
She suspected that her husband had allegedly been sexually harassing their elder daughter, an LKG student, for the past six months, the Inspector said, adding, the woman had also confronted her husband over the matter, but he had denied the charge.
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"The woman became suspicious after seeing that her elder daughter used to get scared on seeing her father. She had a feeling that her husband sexually harassed their elder daughter," he said.
"Based on preliminary investigation and after questioning Vinay, we did not find any concrete evidence as of now to prove the allegations levelled against him (Vinay)," he said.
Deputy Commissioner of Police (North Zone) N Prakash Reddy said the body of the girl was sent for medical examination to ascertain if she was sexually assaulted and the report is awaited.
"He (Vinay) has been let off after his examination. If any evidence is available we will take further action accordingly," he said.