Geneva is located at 46 Â 12 ' North , 6 Â 09 ' East , at the south-western end of Lake Geneva , where the lake meets the RhÃ ne River . Geneva is located at 46 Â 12 ' North , 6 Â 09 ' East , at the south-western end of Lake Geneva , where the lake flows back into the RhÃ ne River .