First of all you need to tell us your habits related to Tobaccoo, Supari, Gutkha etc.
the white patch
on the tongure presenting with burning sensations can be because of a disease, Oral Submucus fibrosis (OSMF), particularly if you are supari chewer or are feeling slight dificulty with opening of the mouth. Else it can be caused by other diseases most likely being, LEUKOPLAKIA
(in tobaccoo chewers/ smokers), LICHEN PLANUS
or a fungal infection
(if white patch can be scrapped off). these are some of the probable diagnosis. you need a thorough dental check up to exactly find out thr reason, therafter only. a treatment can be rendered