The duo, native of Ludhiana in Punjab, filed their plea before Metropolitan Magistrate Monika Saroha, alleging that they were subjected to torture, harassment, beating and all kinds of abuse, when they were residing with their parents.
The younger sister, preparing for her civil service exam, told the judge that "they are students and they have no source of income to maintain them".
"The respondent intentionally, wilfully and deliberately neglected to maintain the sisters and he has caused economic domestic violence against the complainants," their Advocate Shaan Mohan said.
The court has issued notice to the father seeking his response by January next year.
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In their plea, the girls told the court that the trouble began when the elder sister, a final year B.Com student, told her father, a shopkeeper, that she wanted to pursue MBA.
The counsel also said the parents should be prohibited from committing any act of domestic violence.
"The girl's father should be stopped from repeating any acts of physical and mental abuse, sexual abuse, threatening, lodging false cases or sending friends to threaten them and their friends," Mohan said.