Ph.D

Hello Jagdish,
You may refer the link below for the list of colleges that offer PhD in computer science engineering:
https://www.shiksha.com/engineering/colleges/ph-d-computer-science-engineering-colleges-india

Yes. But you can actually try for a PhD from distance education.

You can go either of the two. Generally University first offers Mphil and than PhD. M.Phil is "Master of Philosophy". It is an advanced post graduate research degree. You can contact your University from where you did M.Sc. They might be providing a research degree in your field. It can seek you a job in either government or a private college or University. Similarly PhD is done after M.Phil. A Doctor of Philosophy is the highest academic degree awarded by universities. In most countries PhDs are awarded for programs across the whole breadth of academic fields.

After completing your B.Sc in Mathematics, you could pursue a course in M.Sc Astronomy from some of the top colleges in India. This would open up a number of avenues for you in this field. B.Sc. in Mathematics should help you as Mathematics is a major part of astronomy and space research. If needed, you could plan for a PhD in astronomy and become a teacher in this field.

As per thier website, Himalayan University is recognized by the UGC - University Grants Commission under Section - 2(f) of the UGC Act, 1956 and hence empowered to impart higher education at all different levels of Under-Graduate and Post-Graduate. Himalayan University is included in the list of approved universities in India listed by UGC Approved Universities. Therefore, degrees awarded by University is valid for Government and Private sector jobs.

If your talking about distance PhD many universities do provide. IGNOU is one of the examples of universities which provide PhD facility and it's actually one of the best university in India to pursue online studies.

Indira Gandhi National Open University

PhD is done from from University not college. Make a list of universities and find out which ones are the best.

The required minimum qualification for admission to a Ph.D Program shall normally be a two years Masters OR M.Phil Degree from any accredited Indian or Foreign University in the relevant field. She/he must have obtained either a minimum of 50% marks or Equivalent Grade in the M.Phil degree or a minimum of 55% marks or Equivalent Grade in the Masters Degree (for all disciplines except Engineering and Technology), however, overall 60% at all academic levels will be desirable.