Dressed in a blue tee-shirt, black trousers and white cap, Tiger started off with a wonderful shot straight down the middle, while his second shot landed on the green.
World No. 1 missed an eagle putt but birdied the par 5 hole. In the second hole, Tiger landed a shot just four feet away from the pin to miss it by a whisker.
Tiger is being brought to India by Hero MotoCorp, whose CEO and Managing Director, Pawan Munjal is a known golf supporter and player.
Before Tiger started off with his lucrative exhibition round, TV presenter Alan Wilkins asked the veteran golfer if he was nervous, and he joked: "Ya, I am nervous."
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On Munjal, Tiger said: "He is fine."
The President of Indian Indian Golf Union, meanwhile, presented Tiger with a memento as a token for his first visit to India.
More than 2000 people were present at the golf course to get a glimpse of the World No. 1 golfer.
Cricketers in Madal Lal and Murali Karthik were also among the invitees.