2002 Jag X-Type 3.0 Auto. I fell into a job on this Jag. We have this hose, but with no clue of where it goes!? Please help!

 

I will be the first to admit I love a good mystery. I went though the shop manual and can say for sure that is not a vacuum hose. With all of the vacuum leak problems that occur with the X-type they fortunately used very few hoses so troubleshooting is simpler.
If in fact the hose belongs to the vehicle it is probably one of two hoses. There is a fuel system hose for vapor recovery but that hose doesn't have the end fittings to work there.
The other possibility is it can be a hose for the windscreen washer system. Easy enough to check, see if the washers work or if you pump water out at a strange location.
You can download the SNG Barratt parts book for the x-type from their web site and search it for a match.
I really think if it isn't a windscreen washer system hose it doesn't go on the car. Please post and let us know if you have any luck figuring it out.

 

Sure looks like the washer hose where it passes through the wing (fender).