Jaguars are short scale guitars, and have less string tension, and also the angle of the strings over the bridge is slight, compared, say, to a Stratocaster or a Telecaster. I used to play my Jaguar with 10`s, and I had no real trouble with them, but I found that using a "buzz-stop" (about $40.00 from Allparts) made the guitar feel more solid and responsive- and it took away any buzz that the strings had when plucked (instead of picked). I`ve since started using 11`s, and I`ve removed the buzz-stop, as the 11`s have more tension anyway. Jaguars were designed when only heavy-ish (like 12's, with a wound G-string) were even available. The idea was that a short scale, with less tension, would make the guitar smoother and easier to play. Anyway, I think that 10`s on a Jaguar feel like 9`s on a longer-scale guitar, and 11`s feel about like 10`s, and so on. Raising you action, getting a buzz-stop, ore using heavier strings should solve your problem.
Then, there`s the Mustang bridge, with it`s deeper grooves in the saddles...