The female foetus was found this morning on the first floor terrace of an under-construction house in Mansa Park area in Bindapur, police said.
"A case under section 318 (Concealment of birth by secret disposal of dead body) IPC has been registered at Bindapur police station and further investigation is underway," said DCP (Southwest) Surender Kumar.
It is suspected that the foetus could have been lying on the terrace for a couple of days, police said.
Locals are being questioned to know if they saw any suspicious activity near the area, they added.
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