You don't have to pass from Bangalore to get a Engineering Seat in Bangalore.

There are two types of Entrance for Engineering in Bangalore, 1. KCET 2. COMEDK.

KCET is for the Students who is from Karnataka and has been residing in Karnataka for 7 years or more.

COMEDK is for Non-Karnataka Students like you. Just fill up the COmedk application form, get good marks in that exam  and you are eligible for the admission.

All the best!!