The governor has given the Chief Minister time till Thursday, Oct 14 to prove majority on the floor.
"This is to prove that I am not biased," the Governor said speaking from the Raj Bhavan.
Mr Bharadwaj has written a letter to the Chief Minister on this regard.
The governor's surprise move comes at a time when the state and Central authorities were mulling the Governor's earlier recommendation of invoking President's rule in the turbulence-torn state.
While the Centre was waiting for Karnataka High Court's word on the petitions filed by 16 disqualified dissident MLAs, the Bharatiya Janata Party (BJP) core group met in the national capital to map future course of action in the wake of the recent developments in Karnataka.
The Yeddyurappa-led government won the controversial trust vote held on Monday, Oct 11. However, the floor test sparked off a row as the Speaker KG Bopaiah disqualified the rebel MLAs ahead of the vote, practically paving way for BSY's victory.
With the Opposition parties Congress and JD(S) alsong with the disqualified MLAs seeks Governor's and the Centre's intervention, Mr Bharadwaj had recommended President's rule in Karnataka.