The complaint has alleged that Khan had used the word during the promotion of his film 'Tiger Zinda Hai'.
Additional Sessions Judge Sidharth Sharma directed the Delhi Police to file a report by March 5 on whether any FIR has been filed in the matter in Mumbai or Rajasthan and the status of investigation in those matters.
The court also directed the police to verify the facts in those FIRs and see whether they were similar to those stated in the current FIR.
The court enquired from the ACP why Supreme Court directions were not followed during the filing of an FIR.
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"Please do not shy away from lodging an FIR. You may take action against the complainant if it is found that the case was false. But why a person, who claims to be a victim, should run from pillar to post," the judge asked.
The plea has alleged that the accused persons had "committed atrocity" on the members of the caste and insulted and humiliated them by making the casteist remark.
Singh said he had in December last year filed a complaint at a police station here, but no FIR has yet been registered, due to which he moved the court.