Yes. After qualifying GATE, you can go for M Tech
If this link does not work, click on http://www.amiestudycircle.com/
2.Can I appear for GATE soon after completing AMIE or I need to wait certain period after completion of AMIE.
You can appear soon after passing Section A of AMIE exams. However, you should apply for GATE only after passing section B. For more details on GATE exams after AMIE, log on to http://www.amiestudycircle.com/highereducation.htm
If this link is changed then log on to www.amiestudycircle.com
3.Is there any M Tech (by distance learning mode) program after B Tech?
IEI conduscts PG Diploma (Eq. to M Tech).
In order to open a window of opportunities to practicing engineers, the Institution offers the postgraduate programme to its Graduates and Corporate Members in selected engineering disciplines in collaboration with the Birla Institute of Technology (BIT), a deemed university at Mesra, Ranchi.
For the information brochure, visit http://www.ieindia.org/ and click on Academic link.
You can following links directly
Exam centres: Kolkata, Delhi, Hyderabad, Nagpur and Chennai.