IIT

There are many coaching institutes mainly in Kota, Delhi amd other big cities .
Bansal classes, Allen institute, Fitjee, Career point, Resonance; these are some top coaching institutes you can join.
And more than institute your hard work will determine if you crack the exam or not.
Good luck.

If you are quite specific about the branch then go for NIT. There are cases when you have interest in particular branch or subjects then don't hesitate to opt for NIT and rejecting IIT. I had to face the same situation 3 years back and i don't regret my decision at all.
Moreover, if you don't have any such particular interest then you can obviously go for IIT. It's a huge tag after all.
Be careful as it is not an easy task to go 4 years with subjects that do not interest you.
Good luck

Yes, you can, but you need to qualify JEE Mains and Advanced exam. You need to secure a rank under 2000.

No, IITs do not provide lateral entry admission. Although, many good colleges offer admission through lateral entry. SLIET Sangrur, HNBGU Uttarakhand and many more. You can take admission there.

Just do some simple things:
1.Go to your class daily.
2.Study 6-7Hour daily
3.Leave Social Networking Sites.
4.Contact with good students
5.Practice mathematics daily
6. regularly revises your organic and inorganic chemistry part.
Rest are same.
All the best.

To get an accurate answer, you should mention your category. If you are a boy in general category, then you might not get any good government college. If you are a girl, then you would get a good state government college like, College Of Technology, Patnagar.

Class 11th score doesn't matter at all. All that matters is 12th percentage. You will have to score more than 75% for eligibility. So, don't worry about 11th score. Study well to score as much as possible in 12th and in JEE exam.
Good luck.

Mechanical engineering is basically the engineering related to machines, their working principal, mechanisms, about the different materials used and other designing parts of various machines.

Hello Abhishek,
The best IIT for aeronautical engineering is IIT-Bombay. It has a great reputation. Its placement record is also very good. I feel you should seek admission there.