Jaguar Land Rover (JLR) may be skipping the 2012 Detroit Auto Show to exhibit in India, but it looks like the automaker will boost its presence at next week’s Los Angeles Auto Show to make up for it.

First up is the world debut of the 2012 Jaguar XKR-S Convertible, which joins the XKR-S Coupe as the fastest and most powerful Jaguar models ever built. Both Coupe and Convertible boast a 5.0-liter, supercharged V-8 good for 542 horsepower and 502 lb.-ft. of torque.

In Coupe form, that’s good enough for a 0 to 60 time of 4.2 seconds, on the way to a top speed of 186 miles per hour. Since the convertible will likely carry a few more pounds, expect similar but not identical performance numbers.

Next up is the North American debut of Jaguar’s stunning C-X16 Production Concept, which combines a 3.0-liter, 375 horsepower supercharged V6 with a 94 horsepower hybrid drivetrain to produce a true “performance hybrid.”

The C-X16 will see limited production, and we expect that the final version will look quite a bit like the production concept.

On the Land Rover side, JLR will show the DC100 and DC100 Sport for the first time in North America. The hard-top DC100 and open-top DC100 Sport are meant to be design studies for what a future Land Rover Defender could look like, and the DC100 sports new paint, new wheels and more aggressive off-road tires for it’s L.A. appearance.

Want more coverage of the Los Angeles Auto Show? You’ll find our complete coverage of the event here.