Justice Vandhana Kasrekar issued the notices, the replies to which are to be filed within a month.
Tagore's petition states that she owns 6.28 hectares of land at Koh-e-Fiza in Bhopal and a person named Chand Khan has encroached upon 15,000 square feet of this land.
He is destroying the greenery there which is a habitat of various bird species by carrying out construction, it says.
Tagore's lawyer Rajesh Pancholi told the court that BMC and the revenue authorities had been told about the encroachment but no action is being taken.