Tennis became an Olympic event the year of 1896
They did not win a medal.
The year was actually 1924. Tennis was dropped from the Olympic programme after 1924 amid turmoil over such issues as where to draw the line between amateurism and professionalism, and it didn't return as a medal sport until 1988.
1964
Tennis returned as a medal sport at the Olympics in 1988, 68 years after it had last been featured as such. The previous Olympics in 1984, and also in 1968, featured it as a demonstration sport only.
You need to be a bit more precise and mention the year. However, It was K D Jadhav who won India's first Individual Olympic Medal when her recived a Bronze Medal in the Freestyle Wrestling (Bantam weight: 52 - 57kg) at the Olympic games, in Helsinki, Sweden in 1952
1896 in Athens.
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There was a lone athlete representing India at the 1900 Games in Paris. His name was Norman Pritchard (born in Calcutta) and he won silver medals in the 200 meter dash and 200 meter hurdles. The first year India sent a team of athletes to the Olympics was the 1920 Games in Antwerp. India has competed in every Summer Olympics since 1920.
1984
2009 x
A tennis player who wins the tennis Grand Slam and an Olympics gold medal in the same calendar year would be referred to as having won a "Golden Slam".