Thangaraja triumphed over Vijay on the fourth playoff hole after the two golfers had ended the regulations 72 holes with matching scores of four-under-284.
Thangaraja (68-72-71-73), the overnight leader by five strokes, looked all set to cruise to a comfortable win as he birdied the second and fourth holes from six feet and 15 feet respectively to build on his lead.
The 32-year-old from Colombo then dropped strokes on the ninth, 13th and 15th after hitting his tee shots to the left on all three occasions. This allowed Vijay (72-75-70-67), who shot the day's best score of 67, a foot in the door.
Vijay sank 20-footers on the 10th and 11th.
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Thangaraja and Vijay made pars on the first three playoff holes. Thangaraja, who only took to golf six years back at age 26, finally won the long battle of nerves on the fourth playoff hole. The Sri Lankan made an excellent chip-putt for par on the deciding hole while Vijay missed a five-footer for par.
"I started well today but then faltered on the back-nine as a result of some poor tee shots. The strategy was to make pars and play steady. I only attacked the relatively safer pins which were in the centre of the greens. I was unfortunate not to make a birdie on the 16th where I missed a chip-in by a whisker," said Thangaraja.