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hello aspirant,
With your above mentioned rank in AEEE, and according to the previous year AEEE cutoff, you have difficult chances of getting CSE branch in Coimbatore Campus Amrita as the Last year's closing Open State Cutoff rank was around 1813. But since you belong to kerela, According to your Careers360 profile, you have good chances of getting CSE branch in Amrita Amritapuri campus under the Home state Quota.
Further, to know more about the AEEE cutoff for previous year you can follow the below mentioned link to know more : https://engineering.careers360.com/articles/aeee-cutoff
I hope that this will help.
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