Behold today's cracked.com photoplasty, specifically this image(#16). Apparently, yoga was "invented" the year 1960. Which is total bullshit if you understand that yoga was never "invented," and that its origins are a matter of debate, dating back to the Harappan civilization.
The concept of yoga in western civilization, was known well before 1960, though not always in a positive manner. It was only in the 1960s that the popularity of Yoga in the west increased.

I know there's a lot more badhistory in this photoplasty, but I don't have the time to cover it. Anyone else can feel free to do so.

EDIT: Since I was asked to clarify on r5, here's the clarification:
As I said, cracked.com believes that yoga was invented in 1960.
http://i.crackedcdn.com/phpimages/photoshop/0/7/2/323072_slide.jpg?v=1

"The spiritual practice of yoga was actually invented in 1960."

However, that's untrue, because yoga goes further back than that.

http://en.wikipedia.org/wiki/Yoga#History
This wikipedia page states that:

The origins of yoga are a matter of debate. Suggested origins are the Indus Valley Civilisation (2600-1900 BCE) and pre-Vedic north-eastern India, the Vedic civilisation (1500-500 BCE), and the sramana-movement (starting ca. 500 BCE).

Clearly, way before the 1960s. Now I'm giving them the benefit of doubt and assuming that they're talking about the advent of yoga in western civilization. Even then, they're wrong.
http://en.wikipedia.org/wiki/Yoga#Reception_in_the_West

The first Hindu teacher to actively advocate and disseminate aspects of yoga to a western audience, Swami Vivekananda, toured Europe and the United States in the 1890s.

Theosophists also had a large influence on the American public's view of Yoga. Esoteric views current at the end of the 19th century provided a further basis for the reception of Vedanta and of Yoga with its theory and practice of correspondence between the spiritual and the physical. The reception of Yoga and of Vedanta thus entwined with each other and with the (mostly Neoplatonism-based) currents of religious and philosophical reform and transformation throughout the 19th and early 20th centuries.

During the 1910s and 1920s in the USA, yoga suffered a period of bad publicity due largely to the backlash against immigration, a rise in puritanical values, and a number of scandals. In the 1950s the United States saw another period of paranoia against yoga, but by the 1960s, western interest in Hindu spirituality reached its peak, giving rise to a great number of Neo-Hindu schools specifically advocated to a western public.

I removed a few parts from the wikipedia article, those that weren't cited.

Tl;dr: The fact remains that yoga was known to westerners well before 1960, although it was after that that yoga gained a lot of popularity. Furthermore, you cannot say that yoga was "invented" at any date in history either, since the origins of yoga itself are unclear.