The query was made by the division bench of justices V M Kanade and Shalini Phansalkar-Joshi, hearing a PIL filed by advocate Falguni Brahmbhatt seeking an FIR against Radhe Maa on charges of obscenity, cheating and hurting religious sentiments.
Brahmbhatt moved the court after suburban Borivali police allegedly failed to take action on her complaint.
The controversial 'godwoman' had opposed the petition and her lawyers claimed that all sermons are given inside a room and hence, it cannot amount to indecent or obscene behaviour in public.
The court had last week directed the city police to file an affidavit stating what steps they have taken regarding the complaints received against Radhe Maa.
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The police today sought further time of two weeks to file their affidavit.
The court, however, granted police only one week and said no further time would be granted.
Earlier, Radhe Maa had been in controversy after a 32- year-old woman on August 5 lodged a complaint with suburban Kandivali police alleging that she had instigated her in-laws, who are her followers for many years, to demand dowry.