Mathematician

You must enroll in a scientific or engineering programme if you want to work for ISRO as a space scientist. Professionals with a master's in mechanical, electrical, or computer engineering or a PhD in Astronomy, Physics, or Mathematics are typically sought for by ISRO.The national space agency of India is the Indian Space Research Organisation, with its main office in Bangalore, Karnataka. ISRO is India's main organisation for carrying out tasks linked to space-based applications, space exploration, and the development of related technologies, and it operates under the Department of Space.

You can do two things again get back on your track of JEE with more hardwork learning from your failure but it's more advisable to get admission in private engineering college. More important is to do B.Tech. If you are passionate learner you can get success in any college. So don't lose your hope.

Both are equally important to be a scientist.

Hello,
There are many colleges that offer this course. Depending on the college admission can be on the basis of entrance exam or cutoff. This link will help you
https://www.shiksha.com/science/colleges/statistics-colleges-india?rf=searchWidget&landing=ctp.

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, is a geometric progression with common ratio 3.

For becoming a professor, you have to complete educational qualifications. You must cleared PG, and then UGC NET.