B.Tech

Choose the branch in which you love to work and you have very much interest in it with curiosity. Don't choose your career according to craze and popularity, but select select career of your interest. Trust me, it will be very much beneficial to you and your career.
Best of luck and work hard.

1 round of counselling and seat allotment will be in last week of June 2017 or in the first week of July 2017.

Guru Gobind Singh Indraprastha University
Delhi Technological University
Netaji Subhash Institute of Technology
IIT Delhi
Jamia Milia Islamia
Bharti Vidyapeeth College of Engineering
Maharaja Agrasen College of Engineering
Amity School of Engineering,
NIT Delhi.

Yes, you have a chance to get admission in mechanical branch in best engineering college.

Sorry to say but it is difficult to get admission in NITs for you.
Chances are very less. Apply for JOSSA and perhaps, you can get an admission by luck.

Check the EAMCET cut-off of this year given below :-
CBIT, Hyderabad
BITS, Hyderabad

You can get government job by any graduate courses so, you can choose according to your preference.