It is believed that Sri Ram took a bath at this place after killing Tadaka. It is believed that Sri Ram had visited this place twice. After his coronation, Sri Ram had come to this place to perform a yagna. At that time, he had drawn the outlines of yagna platform with the tip of an arrow.
(Ref: Valmiki Ramayana 1/30/26 refer it for Ram Rekha Ghat also, Manas 1/209/4 to 5. Refer it for Ram Rekha Ghat).