The governor enquired "about the general administration of the affairs of the government," a Raj Bhavan release said.
"The chief secretary to government briefed Honourable Governor about the administrative affairs that are being carried out on a day-to-day basis and also other general matters," it said.
Jayalalithaa's trusted lieutenant and Finance Minister O Panneerselvam and his cabinet colleague Edappadi K Palaniswami also met the governor at the Raj Bhavan where he enquired with them about the health condition of the chief minister, it said.
Although the governor had visited Apollo Hospital, where Jayalalithaa was admitted on September 22 after she complained of fever and dehydration, on October 1, this was the first time he has held consultations with the senior ministers and the chief secretary since she was hospitalised.
The ministers and chief secretary met Rao "on the request of the governor," it added.
With the ministers, the top two in Jayalalithaa's Cabinet after her, the governor "enquired about the health condition" of the All India Anna Dravida Munnetra Kazhagam supremo, it added.
Further, he also enquired about the arrangements made for the visit and information to be presented to the High Level Technical Committee on Cauvery issue constituted by the Centre "to protect the welfare of farmers of Tamil Nadu", it added.
Palaniswami, the Public Works Minister, explained in detail the arrangements made and related matters, it added.
The Apollo Hospital had said on Thursday that the 68-year-old AIADMK leader's health condition "continues to improve" but requires a longer stay at the hospital.
"The consensus of opinions of all the experts is that the line of treatment given to the chief minister should be continued as she will require a longer stay at the hospital," a release from the hospital had said.
Meanwhile, Bharatiya Janata Party leader Subramanian Swamy has demanded imposition of President's rule in Tamil Nadu, alleging "administrative disarray" in the state following Jayalalithaa's hospitalisation.
"The Union government should declare President's Rule in Tamil Nadu in view of the administrative disarray in the State following the indefinite hospitalization of the Chief Minister and her having to remain for health reasons incommunicado," the Rajya Sabha MP said.
He claimed that a "retired chief secretary" has been allowed to conduct the business of the state.
Disruptive groups were expoliting the "ad hoc administrative situation" and attempting to cause massive disorder and lawlessness in the state, he alleged.
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