"I dare her to order a probe into the alleged malpractices so that the truth will come out," he told reporters here.
He said Bedi had been frequently airing such charges on implementation of welfare schemes. She had also written to Prime Minister Narendra Modi about it yesterday.
Narayanasamy also took strong exception to the Lt Governor writing to Modi through WhatsApp or Twitter as she had done in her letter.
"Let her order a probe into her charges of corruption and malpractices in implementation of welfare schemes, including the implementation of the free garment scheme," he said.
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The Chief Minister asked the Lt Governor to keep within limits and extend cooperation for smooth implementation of all welfare schemes.
"The Lt Governor has been in the practice of interfering in implementation of the schemes without cooperating with the government to ameliorate the lot of the people", he said.
Narayanasamy said it was regretable that government had to send files on implementation of the free rice scheme and many other welfare measures many times to her for approval.
The Chief Minister said Bedi's style of functioning only brought to the fore that she was 'incompetent' to hold the post of Lt Governor.