Both Fujifilm X10 and FujiFilm JV100 have 12.0 MP resolution sensors but Fujifilm X10's sensor is 2/3-inch (8.8 x 6.6 mm ) and FujiFilm JV100's sensor is 1/2.3-inch (6.17 x 4.55 mm ).
Since Fujifilm X10's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to FujiFilm JV100.
Below you can see the X10 and JV100 sensor size comparison.
As seen above, Fujifilm X10 has a 2.1x Larger sensor area than FujiFilm JV100. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.