The actual question itself need to be given correctly with more detail, once you do that...the answer is very straight forward.
Is the conveyor at a fixed speed, motor run? if so....the plane WILL eventually take off as the eggines give forward momentum, not the wheels. The wheels would turn faster until a point where the plane would start to move forward, giving the plane lift.
If the conveyor was free moving, and accelerated with the speed of the plane wheels, then the plane would NOT take off, as the thrust becomes greater, the planes wheels would turn faster. No forward movement of the plane and wings through the air.
Its pretty simple really