Hasina, wife of Samruddin, was shot dead by her sons when family members clashed with each other over a piece of agricultural land, they said.
Police rushed to the spot and the deceased's son Sherjan (40) was taken into custody. The injured were rushed to a hospital, they added.
The victim's body has been sent for postmortem, police said, adding that investigation is on.
The incident happened last evening when Arzu Perveen, daughter of Liyakat Wasa, was alone at her residence and some miscreants entered the house and murdered her, they said.
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The cause behind the tragedy has not been known yet, they said, adding that a case has been registered against the accused.
Meanwhile, a 40-year-old woman was shot dead by unidentified assailants at Dhansri village in the district, police said today.
The incident happened yesterday when Sumitra had gone to her fields, they said.
A 30-year-old married woman allegedly committed suicide by consuming poison over some family dispute at Bachan colony here, police said today.
Moni Raghuvanshi was being harassed by her in-laws after she gave birth to a girl child, they said.
A case has been registered against Moni's husband Ravi, mother-in-law Karti and sister-in-law Doli for abatement to suicide, they added.
In another case, an elderly woman allegedly committed suicide by jumping into the Ganga canal at Khatoli in the district, police said today.