The petitions, filed by Brihanmumbai Municipal Corporation (BMC) and Pure Drinks Pvt Ltd, came up before Justice R Sawant who will hear them on Wednesday.
BMC claimed it was the owner of the land on which these buildings (facing demolition of illegal floors) stood, while Pure Drinks said it had obtained from the civic body the plot for 99 years on leave and licence basis.
The HC had earlier directed that status quo be maintained on the order passed by the Deputy Registrar.
The six societies are Shubh, Esha Ekta, Mid Town, B Y Apartments, Patel and Orchid buildings.
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BMC argued it was the owner of the land and conveyance had been granted not only of the land but also of the buildings which are facing demolition. Also, the order was passed by the Deputy Registrar ex-parte.
The residents of the societies have argued that they were entitled to the conveyance as per MOFA.
It was also argued that Pure Drinks did not have any right or title and granting of conveyance to the housing societies does not take away BMC's rights as owner of the land.