Dear student,
Anyday, a government college. The fee is less compared to a private college and it is recognised obviously. A private college usually seeks for affiliation from a government university, so if you are already studying in a government college, then you are at an advantage.
This is however, barring the premiere autonomous institutes like IIT, NIT etc. BITS Pilani, MNIT Jaipur, DCE etc. are private colleges with excellent reputation. It all depends on your engineering entrance exam score & ranking in various exams like JEE etc.
See best engineering colleges in India.
When the AP PGECET councelling for m pharmacy students
Mujhe admission mil sakta hai chemical engineering mai and fees kitni hai
Admition starting and closing date