Home Minister Rajnath Singh maintained that the party will take a call once a formal proposal is received from Lt Governor Najeeb Jung while he ruled out his party indulging in any horse trading.
The state unit of the party is said to be divided on forming a government without facing fresh elections but sources said the high command was inclined to give it a shot.
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A final decision may be taken on the issue at a meeting of the newly-constitute BJP Parliamentary Board that may be convened early next week, sources said.
Amit Shah told a television channel that BJP, the single-largest party, has the right to form a government as it has got the mandate in Delhi in both the Assembly and Lok Sabha elections and does not see anything immoral in seeking support for it.
"Our party got the mandate in the Assembly and Lok Sabha polls in Delhi, and we think that mandate stands. I do not find anything immoral in seeking support to form a government," Shah told Rajat Sharma in his 'Aap Ki Adalat' programme on India TV.
"Everybody wants to avoid fresh elections in Delhi," said Shah, adding that "BJP is the single largest party and it has the right to form a government.