CBSE 12th

No.This is only possible through direct admission.

No not from counseling .
You need to go for direct admission.

There are Chaitanya Institutions and Narayana Colleges. Some colleges of Hyderabad are very good and have reputation from a long time.

Apart from B.Tech, you can look for:
1. B.Com.
2. B.Sc.
3. BCA.
4. Bachelor's in pharmacy.
5. Bachelors in architecture.
6. BBA.
7. Integrated BBA + MBA.
8. LLB (B.Com + LLB/ B.Sc + LLB/ BCA + LLB).

If you are from science background, then you can go for B.Tech, B.Sc or BCA. If you are from commerce background, then you can go for B.Com or BBA.

Your maths marks won't matter as long as you do good in your BBA and MBA entrance exam. Just prepare yourself with a good explanation for low marks in the interviews.

It depends, what you want to do after completing class 12th. But, most of the courses require mathematics as a main subject and even few schools gives you an option for taking mathematics as an additional subject. If your school doesn't gives you that option, then automatically mathematics will be the main subject.

I think, you have heard about the new amendment, which is 75% is the eligible score to getting into IITs and NITs. If you belong to reserved category, then 65% is required. If you had already scored 70%, then try for other things. IITs are not the end of world. If you are yet to appear for boards, then study properly.
All the best.

Despite of any stream in class 12th board exam, you should go through with your NCERT books. You should make the concepts clear and analyse the theories. You can make notes of the important topics and revise them daily. Yes, to impress your examiner make a habit of writing things to the point.
Best of luck.

Despite of any stream in class 12th board exam, you should go through with your NCERT books. You should make the concepts clear and analyse the theories. You can make notes of the important topics and revise them daily. Yes, to impress your examiner make a habit of writing things to the point.
Best of luck.