Rajyotsava (Karnataka formation day) is celebrated on November 1 every year.
The complaint by BJP state general secretary N Ravi Kumar and MLA C T Ravi names mybengalooru.Com and a Facebook page titled "namma nechinna mukhyamantri", among others, for posting "false" information.
The complaint stated the saffron party suspected that Karnataka Chief Minister Siddaramaiah was "patronising" these websites and the Facebook page.
"We seek legal action against the accused under section 499 (defamation) of the IPC," the BJP leaders said in the complaint.
BJP spokesperson S Prakash said the police should arrest those involved in spreading "fake" narratives against Shah.
"Such acts show how desperate the political adversaries of the BJP are," he said.
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