Many a top women tennis player have held the No. 1 ranking but have not won any Grand Slam tournament.

Take the case of 20-year-old Caroline Wozniacki who entered the Australian Open as the top-ranked woman tennis player after winning six tournament last year. Wozniacki entered the Grandslam only once in 2009 only to lose against Serena Williams in the U.S. Open.

Her story is not an isolation. World's women No. 2 Vera Zvonareva of Russia reached her first two Grand Slam finals in 2010 but she has yet to win the elusive trophy. Her compatriot Dinara Safina was No. 1 in 2009 and Serbia's Jelena Jankovic ascended to the top in 2008. Both has yet to win any major title.

Safina made it in the 2009 Australian Open match, along with two other major finals. But on Tuesday night, she lost 6-0, 6-0 to U.S. Open champion Kim Clijsters in the first round of the Australian Open.

Clijster herself lost three Grand Slam finals before finally winning a major tournament at the U.S. Open in 2005, offered some consolation to Sarina. She told reporters in an interview after the match, "She [Safina] didn't get to No. 1 just by luck, so that game is still there. She needs to win a few matches to build up her confidence."

For her part, Wozniacki is feeling confident in the ongoing Australian Open. And Jankovic says being ranked No. 2 does not pose any pressure on her part.

Speaking to the media after her first round victory Tuesday at Melbourne Park, Jankovic stated,

"Always the same questions! I mean, what kind of pressure?

"It's a Grand Slam and everybody wants to win it," she said. "I think every player has extra motivation when they're playing a Grand Slam because they want to really win it. Doesn't matter if you're No. 1 or not."