Hello Urijith.Based on the rank provided by you you might not get a seat in Mechanical Engineering if you do not come under the state quota for Coimbatotre campus.But you can get Mechanical Engineering in Amritapuri campus as the cut off ranges betweem 9000-12000.Amrita school of Engineering,Bangakore is too a very good college for Mechanical Engineering.Please go through the following link for more details.

https://engineering.careers360.com/articles/aeee-cutoff