After a meeting of the party's political affairs committee and the newly-elected MLAs, AAP chief Arvind Kejriwal said they would distribute 25 lakh copies of letters seeking people's views on the issue and then replies will be accepted till Sunday.
"We will make public our stand on Monday and convey it to Lt Governor our decision on the issue," he told reporters.
AAP, which was invited by Lt Governor Najeeb Jung to discuss government-formation last week, had set 18 conditions for Congress and BJP before it can decide on taking their support to form a government.
He said some of the leaders felt that AAP can form the government and do some two or three "good things" before it is toppled while some others were of the view that it should not take power at all.
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At the same time, he wondered how AAP can take support from Congress as "it will definitely bring down the government after six months".
Jung has already recommended imposition of President's rule in Delhi among other options following the deadlock over formation of a new government as no party was ready to assume power.
Kejriwal said though Congress has sent reply to AAP's letter mentioning about 18 conditions, the BJP did not even bother to respond to its communication.
"The BJP did not even bother to reply to our letter while the Congress in its letter said 16 points we mentioned can be implemented through executive decisions," Kejriwal said.
BJP (31) along with its ally Akali Dal got 32 seats in a House of 70 while AAP had got 28 seats.