Kejriwal said he would respect and follow the "people's verdict", whether it was against or for the party.
AAP leaders and MLAs will start the process of public consultation and hold rallies in every constituency soon.
The AAP has reportedly commissioned a poll to gauge public opinion among voters.
AAP in its letter to the people has asked for their views on whether they should take support of Congress and BJP to form government in Delhi.
Dikshit's address to the workers came in the backdrop of stepping down of DPCC chief JP Agarwal from the post.
Interestingly,Congress leader Arvinder Singh Lovely had insisted that that the party had given unconditional support to AAP.
The report came in the backdrop of the BJP with 32 seats expressing its inability to form a government while AAP has sought more time.
However, the AAP is likely to decline the offer to form a government in Delhi.
Raman Singh also said that Narendra Modi will become Prime Minister and Chhattisgarh's BJP will contribute to his victory by winning all 11 Lok Sabha seats in the state.
BJP's chief ministerial candidate Harsh Vardhan said that they will form the government only after they get a clear mandate.
Senior BJP leaders including Prime Ministerial candidate Narendra Modi were present at the ceremony.
Lal Thanhawla will take over as chief minister of the state for the fifth time and a second consecutive term.
Lt Governor Najeeb Jung will be asking the BJP to prove its majority on the floor of the Delhi Assembly.
"We can make our 'Yuva Hridya Samrat' contest against Yuvraj," Manish Sisodia said at AAP's first rally after the Delhi elections.
Both the BJP and the AAP are not willing to stake claim in making a government and are ready to sit in the opposition in Delhi Assembly.
AAP national convener Arvind Kejriwal has ruled out giving any support to BJP to form a government in Delhi.
Lt Governor Najeeb Jung is now expected to formally explore all options to put in place a government.
His comments came hours after Prashant Bhushan was quoted as saying that AAP can provide issue based support to the BJP.
A FIR was filed on the complaint of the losing Congress leader Veer Singh Dhingan's wife on Monday against AAP MLA Dharmendra Koli.
Veer Singh Dhingan said that he has only been told by people that AAP's Dharmender Koli was present.
"There is no question of supporting BJP. What Prashant said on Monday was his personal opinion," Arvind Kejriwal tweeted.
The AAP is leading only in New Delhi Lok Sabha seat currently held by senior Congress leader Ajay Maken.