Kalburgi's wife, in her plea, said that the investigation in Dabholkar and Pansare murder cases was in a "sorry state" and no progress has been made in bringing the killers to book.
He said the Congress party is capable of dragging the judges into an unsavoury controversy and make them controversial 'should their judicial opinion not appear favourable in the cases in which the party has an interest'.
The SC accepted the Centre's plea that two more days be given to respond to the suggestion about the feasibility of holding a floor test in Uttarakhand assembly.
Hindu bodies except Nirmohi Akhara have opposed the suggestion of the apex court to refer the issue for mediation, while Muslim bodies have supported it.
"What kind of prayer is this," the bench said.
There is ambiguity as some top leaders are not comfortable about moving the motion.
Article 35-A, which was incorporated in the Constitution by a 1954 Presidential Order, accords special rights and privileges to the citizens of Jammu and Kashmir and denies property rights to a woman who marries a person from outside the state.
The arguments remained inconclusive and would continue on Friday.
In his PIL, Sharma alleged discrepancies in the fighter jet deal with France and sought stay on it.
The apex court also asked the the high courts to instruct the trial courts not to grant unnecessary adjournments during trial of cases.