Are helicopter searchlights fixed or movable?
The question is some what unclear, but helicopters usually have some combination of 3 types of lights.

Landing light(s); fixed, sometimes pulsing, used for illuminating the area directly in front of and below the helicopter for landing.

Anti-collision light; fixed red and green and a strobe on the tail and sometimes the belly.

Search lights; directable, usually only used on military or para-public helicopters that fly at night. [SAR, Police, etc...]