in that case
jet planes dont exist
but there are planes with jet engines that have deadly weaponry on them designed by the military.
Jet planes DO exist. Dragons DO NOT.
Jet planes will defiantly win this.
Radar guided missiles would not lock onto the dragon, simply because the radar would not reflect off of the dragon well enough for a lock on.
Heat seeking missiles would work, the fire breath would take the lock off of them for a second, then the missile would self destruct upon loss of its target. Thing is, the jet would just fire two more to make up for the lost one.
There are some jets that have great maneuverability, such as this
http://en.wikipedia.org/wiki/F-15_ACTIVEThis could easily fly circles around the dragon (not that you would actually want to)
Even if the Plane ran out of missiles, the gun range would be far greater than the claw range. It could pull off an attack before it gets clawed at.