the way u've described ur state boards.... it seems u gonna giv maharashtra state board exams..... So called HSC !!!
Well don wry this is the same case wid me too n wid all my fellow frnds aspiring For JEE n frm HSc board...
But as a solution..... Whenever its ur unit test or terms in ur college for 12 th... devote max. time for ur 12 th lessons .. so dat after units or terms u are perfect wid dat many lessons....
n the rest of the days just concentrate on JEE syllabus......
N in month of Jan..... around frm 10 th jan or so..... Start on wid ur 12th syllabus..... wid full force............ And devote half the time which u take for 12th during this time for JEE......
And ha do 1 chp frm all the books so dat u get d links properly...
Hoping this might help u !!!!