Software Engineering Eligibility

If you can work hard and clear your Mains/Advanced with a good rank then you can get some scholarships from government (If you are a reserved candidate then there's a good news if you get any NIT/ IIIT/ IIT any then you need not need to worry because your fee will be negligible) and if you don't clear Mains then the only option available for you is to go for educational loans. That's it!
Hope this helps.
All the best.

You are advised to do BCA-MCA to become software engineer. if you had Maths as a subject in 10+2 stage then you are eligible to seek admission in all BCA colleges, else your choice of institute will be limited.

There is no link between NEET and graphic designer. You need to join any institute to become a graphic designer.
Some institutes that provide graphics designing course are:
NID
HT Campus
TGC
Admecindia

You should opt for PCMC.

You have to do B.Tech in computer engineering or information technology from any good reputed college. I will suggest you to join any college in Bangalore that will be the best.

In which state are you looking for doing engineering in Information Technology (IT)?
You cannot get admission in government colleges in this grade but you can have a chance to get good private colleges which are giving good qualities in Information Technology (IT).

Among all these branches of engineering, maximum scope is there for software engineering and networking.Since many people opt for software engineering, you need to be very skilled to get placed in a good company and also with a good salary. The colleges are very important especially for these courses.
Though many colleges offer these courses, all are not good for it. So choose the right college.