Tendulkar notched up his 49th Test century and found able support from opener Murali Vijay (139) as the hosts reached a comfortable 435 for five at stumps on day three in reply to Australia's 478.
The 37-year-old batting maestro, who has been in stunning form in the last three months, played a virtual sheet anchor role to guide India not only to a safe position but from where they can push for a 2-0 series win.
Tendulkar and Vijay, who scored his maiden Test century, were involved in a record 308-run partnership for the third wicket which laid the foundation of India's spirited reply.
Skipper Mahendra Singh Dhoni (11) was giving Tendulkar company at stumps on an eventful third day.
In Image: India's Murali Vijay, second left, bats during the third day of their second cricket test match against Australia, in Bangalore