M.A Music

I would recommend that you should first complete engineering. yes, you can follow your passion and do MA in music.

M.A. in Vocal Music from Rabindra Bharati University requires its candidates to have completed M.A. or B.A,(Hons./Spl.) in Vocal Music or in any subject with special aptitude in Vocal Music from any UGC recognized University.
You should find out whether the course you have done in classical music is equivalent to a B.A. in vocal music, so that you can apply to the institute for this course. Regards.

Completing your graduation is not the only pre-requisite to secure admission in this course. You need to complete your graduation in a relevant subject. Basic eligibility to pursue this course is that candidate must have completed M.A. or B.A,(Hons./Spl.) in Vocal Music or in any subject with special aptitude in Vocal Music from any UGC recognized University. Regards.

Hi,
In MDU, you get an option for full time MA music. This course is not available through correspondence.

Check out the official link below for all the required details:
http://www.hpuniv.nic.in/PDF/music_ma.pdf

As answered earlier, you will not be eligible for MA in music after completing BA in English literature. However, if you wish to know about the institutes I can help you with the same.
To name a few University of Delhi, Banasthali University, Kurukshetra University and many more.

You have to complete your Diploma and degree in vocal music first.