I have seen dual filament bulbs blow and the blown filament fall across the legs supplying the filaments and create a short circuit but still appear to work. If changing the bulb does not solve the problem then you need to visually check the wiring loom and all connections from the headlight back to the fuse including the internals of the switches for short circuits to earth.
this is a check you could do. With the ignition off remove the fuse, set the meter to Ohms, Check the resistance between the supply to the switches (non live side) and earth with the left hand switch set to dims and the on/off light switch (right hand switch) Set to off: resistance should be in at least in 100KOhms range or higher (keep your fingers away from the probes as for infinity your fingers will effect the reading.
Set to park centre position: resistance should be less than 4 ohms. You are checking the resistance of the parking light bulbs (Front and rear) and meter light bulbs in parallel.
Set to fully left position: resistance should be slightly less as your including the dims in the check
Switch dims to heads and see what the readings are should remain around the same
If readings are less than 1 to 2 Ohms you have a short circuit somewhere.
If readings are very low disconnect the headlights one by one and see if the readings increase. Now remove the parking light bulbs front and taillight bulbs rear the readings should increase again as it is only the meter bulbs are being measured.
These readings are not exact as I do not have the 00/01 Fazer to check them.
If anybody has a 00/01 Fazer and a meter they could do the checks above and list the readings for you.
Let us know how you get on.
this is a check you could do. With the ignition off remove the fuse, set the meter to Ohms, Check the resistance between the supply to the switches (non live side) and earth with the left hand switch set to dims and the on/off light switch (right hand switch) Set to off: resistance should be in at least in 100KOhms range or higher (keep your fingers away from the probes as for infinity your fingers will effect the reading.
Set to park centre position: resistance should be less than 4 ohms. You are checking the resistance of the parking light bulbs (Front and rear) and meter light bulbs in parallel.
Set to fully left position: resistance should be slightly less as your including the dims in the check
Switch dims to heads and see what the readings are should remain around the same
If readings are less than 1 to 2 Ohms you have a short circuit somewhere.
If readings are very low disconnect the headlights one by one and see if the readings increase. Now remove the parking light bulbs front and taillight bulbs rear the readings should increase again as it is only the meter bulbs are being measured.
These readings are not exact as I do not have the 00/01 Fazer to check them.
If anybody has a 00/01 Fazer and a meter they could do the checks above and list the readings for you.
Let us know how you get on.