Along with Yadav, Ramchandra Prasad Singh is contesting from JD(U). Jethmalani, who was the law minister in Atal Bihari Vajpayee Government, and Bharti filed their papers as RJD candidates.
The Grand Alliance's five nominees also filed their papers for Legislative Council polls.
Biennial elections are being held to fill five Rajya Sabha and seven Legislative Council seats.
Grand Alliance candidates Gulam Rasool Baliyavi, C P Sinha (JD-U), S M Qamar Alam, Ranvijay Singh (RJD) and Tanveer Akhtar (Congress) filed papers for Council polls.
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Bihar Chief Minister Nitish Kumar, RJD chief Lalu Prasad, former Chief minister Rabri Devi, Deputy Chief Minister Tejashwi Prasad Yadav, JD(U) state chief Bashishtha Narayan Singh, Bihar Congress chief Ashok Choudhary were present at the time of filing of nomination papers in Secretary-cum-Returning Officer's chamber.
Prasad said that two candidates each from JD(U) and RJD filed their nomination papers for Rajya Sabha while one Congress nominee and two candidates each from JD(U) and RJD filed their papers for Legislative Council polls.
"All the candidates of alliance will definitely win," he said confidently.
May 31 is the last day for filing nominations for these seats, while the scrutiny will take place on June 1. The last date for withdrawal of candidature is June 3.