The woman, a resident of Kaithal, approached the minister in an 'open darbar' held by him at Ambala Cantonment.
She said she gave birth to a child in the civil hospital at Kaithal few days ago but soon after delivery, her male child was replaced with a female by staff members.
She alleged the hospital authorities did not initiate any action when she brought it to their notice.
He said he has directed the civil surgeon of the hospital to conduct the DNA test of the mother and her baby to know the truth of the matter.
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Talking to reporters, Vij also said as health department does not have any provision to check unauthorised online purchase of pregnancy test kits and medical termination of pregnancy drugs, the officers have been directed to find ways to curb this practice.
Vij, who represents Ambala Cantt in the state Legislative Assembly, said facilities of sewerage and drinking water would be provided to every house in all villages and colonies in Sadar and municipal corporation areas of Ambala.