You may file for the custody of your child under the Guardians and Wards Act 1890 and the Hindu Minority and Guardianship Act 1956, citing all the reasons mentioned above in your question, including the suggestion of police, if it exists on paper while filing for the custody of the child in the court.
Citing the ill health of the child due to poor care, lack of nutrition, lack of imparting proper education and neglect by your wife; you may go ahead to claim the custody of the child.
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