Congratulations for your result. Amrita School of Engineering, Coimbatore campus is one of the best campuses so the cutoffs are quite higher than other two. But as you belong to TamilNadu so you can avail the State quota. For State quota candidates, the cutoffs are low compared to Open quota candidates. If we go through the cutoffs of last few years' then the closing rank for Aerospace Engineering in Coimbatore campus lies around 19000 rank for Home State quota candidates. So it seems you have quite fair chances of getting aerospace Engineering  there. Other branches you can get in Coimbatore campus are Civil Engineering, Chemical Engineering, Electrical and Electronics engineering, Instrumentation Engineering etc. However this is based on previous years' data and this year the cutoffs might change. You can check the cutoffs here http://engineering.careers360.com/articles/aeee-cutoff

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