Does Input.mousePosition works for iphone ?

Well I know Input.getmousebutton/up/down not works for iphone, but does ‘Input.mousePosition’ works ? Its is working on simulator
and secondly I am dragging an object on iphone, but it is not dragging very smoothly, so Is this because I am running it on simulator ?

On the iOS Input.mousePosition gives the average position of all the current touches. It is likely not the source of whatever is causing your dragging to not be smooth.