Raising the issue during the Zero Hour, E Ahmed (IUML) referred to the Nalgonda killings and alleged that five minority youth were shot dead by police in an "extra judicial massacre".
Noting that the incident has sent shockwaves among people, he demanded a CBI inquiry if a judicial probe was not possible.
Initially, Speaker Sumitra Mahajan was reluctant to allow Ahmed to raise the issue as it was a state matter.
The way Thambidurai raised the issue irked the Speaker who was presiding over the proceedings.
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"You are a Deputy Speaker. You should not talk directly. You should tell me," a visibly upset Speaker observed after Thambidurai sought a response from Home Minister Rajnath Singh.
Members from some other parties, including Congress, supported the demands.
Singh merely said the Centre had sought a report from the state governments and will inform members after getting the reply. If the presiding officer so suggested, he could inform the House, he said.