Which course should I opt: BA or B.Tech?

Shantunu, of course B.Tech would be mushc preferable unless you have some special educational plans after BA. But B.Tehc you can do only if you had PCM subjects in your XIIth standard. If yes then opt for B.tech through selection by examinations.

if you interested in psychology then you can chose Ba (Honours) psychology programme at Sam Higginbotom Institute Of Agriculture Technology and Sciences, SHIATS, allahabad, Uttar Pradesh and for Pg prepare for TISS because here u can get more opportunities