B.Tech

There are more than 1,400 colleges for studying the BTech in AI and ML course in India, out of which around 420 colleges accept the JEE Main exam scores for admission. Top colleges like the IITs and NITs strictly ask for JEE Main and JEE Advanced scores for admission to the course. The competition is quite high here because of the demand of the field in the job market, so you should work very hard to score excellent marks and rank to grab a seat at a top college for AI and ML. 

Yes, you can teach B.Tech students, particularly in Engineering Mathematics, if you have an M.Sc. in Mathematics. For assistant professor positions, the majority of engineering colleges require a master's degree with at least 55% of the possible points and frequently NET or SET certification. Strong communication and subject-matter abilities might be enough for private schools.