Tamil Nadu Common Entrance Test (TANCET) is conducted by Anna University for the admission to post-graduation programmes like M.Tech, MBA, MCA and M.Arch in various colleges/institutes of Tamil Nadu. Anna University will declare  TANCET cutoff marks for MBA, MCA, M.E & M.Arch. at its official website in July, 2019 . AS per your marks yyou would have got a  "F" and a rank around 2100. The above-mentioned notations represent the type of colleges, a candidate may get depending upon the ranks secured by them in TANCET. As far as I know you can get mechanical and more with with score in private colleges.

Under this notation you would only get private colleges for mtech. All the best.