The BJP is backing JDS candidates in the two segments, where bypoll was necessitated following the resignation of N Cheluvarayaswamy (Mandya) and H D Kumaraswamy (Bangalore Rural) who quit after being elected to the Assembly in May.
JDS of former Prime Minister H D Deve Gowda is leaving no stone unturned to retain the two seats, and has fielded Kumaraswamy's wife Anita from Bangalore Rural, and C S Puttaraju in Mandya.
It has turned out to be a prestigious battle between the Congress and JDS.
Mandya is a stronghold of JDS, which won five of the eight Assembly seats in the district in the May elections but saw desertions from former Speaker Krishna and former MLA Kalpana Siddaraju in the region in the run-up to the polls.
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The Congress faced factionalism in Mandya, where the district-in-charge and Housing Minister M H Ambarish and former Chief Minister S M Krishna do not reportedly see eye-to-eye casting a shadow over campaigning.
The JDS has shied away from publicly acknowledging electoral understanding with the BJP, insisting that the objective is to defeat the Congress and it can't refuse support if other parties voluntarily back it.
BJP's decision to support JDS has raised considerable eye-brows. A section of the BJP felt the party should have fielded candidates to make its presence felt even though it can't fancy wins at both segments. They noted that the BJP had recorded 3.63 lakh votes in Bangalore Rural in 2009.