Tamil Nadu Agricultural University

The B.Tech (Agricultural engineering) program is offers at Agricultural Engineering College and Research
Institute (A constituent Colleges of TNAU) , Kumulur, Pallapuram (PO),Tiruchirappalli. The total intake of this program is 70, out of 70 the 11 seats are filled through ICAR and rest through the online counselling. The eligibility criteria of this program is as under :-
Eligibility :- Candidates should have passed ALL the subjects in Academic stream of the Qualifying Examination with 10+2 years of schooling under Board of Higher Secondary Education of Government of Tamil Nadu / Central Board of Secondary Education / Council for the Indian School Certificate Examinations / other State Government Boards / other International Boards that are recognized (Attach proof for recognition) are eligible.
Because you got failed in Maths. Hence, you are not eligible.

Engineering is the most sought career with PCM stream students. I would suggest you pursue B.Tech and that too in CSE as opportunities are great in this field and are expected to rise more in coming years. This field is not loner limited with IT industry. Its penetrating in almost every sector like education, health care, travel & tourism, entertainment, automobile, banking and insurance, construction, engineering, telecommunication and everywhere. So, jobs for a Computer Science engineer will always be there in IT as well as in non-IT domains. But, you should target some of the better universities out there for admissions like IIT, NIT, BITS, DU, UPES-Dehradun and UTM Shillong which have good infrastructure and provide quality education and placements as well. You can look for eligibility criteria by visiting their website.