I got 15002 rank in AEEE. will I get seat in amrita coimbatore under state quota for ECE or CSE

Congratulations for your result. With this rank you can surely get Amrita School of Engineering, Coimbatore campus. This is one of the best campuses of Amrita Vishwa Vidyapeetham. You know the cutoffs change every year as it depends on various factors. As you have mentioned that you belong to the state quota so the cutoffs will be quite low compared to the other state candidates. Going by last few years' cutoffs, it may be difficult to get Computer Science and Engineering in Coimbatore campus as the closing rank for CSE lies around 13000 rank. But you can surely expect Electronics and Communications Engineering as the closing rank for this branch lies around 16000 rank. Now this is based on previous few years' cutoffs and this year it might change. You can also check the cutoffs of other campuses and other branches here http://engineering.careers360.com/articles/aeee-cutoff