Electrical Engineering

Power System Engineering is a better option for job in comparison to Power Electronics specialisation in M.Tech EEE.

Chandigarh university has its link with Google

Electrical Engineers are employed in manufacturing & services companies in ops & maintenance roles. In addition engineers are employed in electrical power generation & distribution companies, electrical equipment manufacturing companies, R&D, central & state governments, armed forces, paramilitary forces etc.

HBTI is surely a better option to pursue electrical engineering

Please evaluate USA or German Universities for MS Electrical Engineering .

in every engineering branch, you must have the basic mathematics knowledge.however, engineering mathematics will be taught to you for a few semesters.mainly that engineering mathematics will come in application.so, it does not matter how well your maths is, if you have an interest in electrical branch,then go for it.

Maulana Azad National Institute of Technology (MANIT) is best for both the branches.

It depends on your passion and interests.
In India, there is not much scope for Biomedical Engineering. The few colleges which offer Biomedical Engineering, don't have good facilities or advanced equipment.
On the other hand, electrical engineering is an evergreen field of engineering. Jobs are plenty and is going to be in the foreseeable future.
Electronics engineering companies in India are few so most electronics engineers end up being software engineers. I don't recommend Electronics engineering to you unless you are 100% sure that you love semiconductors, diodes and transistors.