An electro-optic display comprises, in order, a light-transmissive electrically-conductive layer; a layer of a solid electro-optic material; and a backplane (162) bearing a plurality of pixel electrodes, a peripheral portion of the backplane extending outwardly beyond the layer of solid electro-optic material and bearing a plurality of radiation generating means (166) and a plurality of radiation detecting means (168), the radiation generating means and radiation detecting means together being arranged to act as a touch screen.