Maths Spl

After doing M.Sc. and B.Ed. with mathematics you can try to be a school teacher and if you do M.Ed. and qualify NET then you can try to be a college teacher. There are just some scopes in teaching field.

If you want to pursue physics then you should pursue B.Sc (Hons) in physics instead of B.Tech. After completing your Bachelor's degree in physics you will be eligible for IAS too.

Online tutoring has emerged as the alternate of classroom teaching. Demand for online tutoring in science subjects is growing at a very fast pace. The advantages are that you don't need to have a particular degree but knowledge is an essential requirement.

Yes you can get a job. It depends up on the institution you take admission in. If you are doing it from reputed institutions like IITs, IISC or BHU then you will get placed through college campus. Otherwise, you have to write CSIR or NET exam or pursue Ph.D or B.Ed. You can also prepare for government jobs.

Mathematics as a subject is only in the first year of engineering and it's almost equivalent to the mathematics that you have studied in class 11th and 12th, so it is not so difficult.

Yes, you can do that. Even, if you clear that exam, you will have to face interview in which they will keep stressing on, why do you want change your field?