These are two resistors that were in series with a transformer on the mains (120 V AC) input of an audio amplifier power supply. The PCB under them has become discolored with heat after being in service for 22 years. I removed them from the board and measured them. Surprisingly, they are both 2.81 kΩ, but the color bands would suggest 10 kΩ ±10%.
I am surprised that they measure much less than expected. Further, I wouldn't expect the measured resistance to be so similar to each other if indeed they have failed over time (2.815 k and 2.813 k).
Either I have interpreted the color band incorrectly, or they have managed to degrade very similarly to an out-of-spec resistance.
They measure 11 x 5 mm which I think may be rated for 1 W but I am not sure. The color bands are faded.
What value would seem reasonable for these resistors? I don't know what purpose they serve in a linear power supply where they are between fuse and transformer (current-limiting? soft start?).
Here is a partial schematic. There is a TRIAC and opto-isolator after the resistors in question (R1, R2).
And here is a picture of the resistors:
I updated the schematic after one of the answers indicated that I had not sufficiently probed the board to see that the TRIAC is in parallel with the resistors.