Chennai Test: Sachin Tendulkar strikes form, India on even keel against Australia
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Just when the duo seemed to be crusing along comfortably, Pattinson provided the breakthrough when he came back for his second spell by accounting for Pujara.
Pujara fell to a off-cutter in the 29th over after striking six fours in his 76-ball stay at the crease.
With three days left in the game, India will look to come close to the Australian total and then push to seize the initiative.
Earlier, both the openers were out bowled. Vijay was the first to go after a 15-ball stay, which included two fours, done in by Pattinson's pace.
Sehwag quickly followed his partner back to the pavillion, failing to spot a slower one from Pattionson which bounced inside the crease and dislodged the bail of his leg stump.
But Pujara and Tendulkar steadied the rocking boat, bringing up the team's 50 in the 13th over. The two displayed patience but at the same time kept the scoreboard ticking.
They completed a half-century stand for the third wicket in 68 deliveries to rescue India from the precarious position.
Tendulkar was then joined by Kohli, who had a disappointing series against England, unleashed a flurry of shots to announce his return to form.
Earlier, in the morning session, Australian batsmen frustrated Indian bowlers with determined batting before being bowled out for 380 in their first innings.
Resuming at 316 for 7, the visitors resisted the home attack for 38 overs and added 64 runs. They were also helped to an extent by a few decisions that went in their favour much to to India's frustration.
Since the last-wicket pair of James Pattinson and Nathan Lyon was at the crease at the official lunch time, the morning session was extended and at the fall of the latter, the break was taken.
Indian off-spinner R Ashwin registered his career-best figures (7/103) while Ravindra Jadeja (2/71) took two wickets.