Hii Nithya..

I am providing you the list of best government colleges in kerala. The college includes -

• Indian institute of space science and technology, thiruvananthapuram. 
• Cochin institute of science and technology, cochin. 
• College of Engineering, Trivandrum
• Government college of Engineering, Kannur.
• Government College of Engineering, thrissur.
• Government Engineering College ,Thiruvananthapuram.

For further information I am providing the following link where you can know more about these colleges and other government engineering colleges.

The link is-

https://engineering.careers360.com/colleges/ranking/top-government-engineering-colleges-in-kerala

Hope it helps. 

Best of luck for your future. 

• Cochin University of science and technology, Kochi
• College of engineering, Trivandrum
• Government engineering College, Thrissur
• Government college of engineering, Kannur
• Government engineering College,  Thiruvananthapuram
• Government engineering College, Kozhikode
• Government engineering College, Sreekrishnapuram
• Government model engineering college, Thrikkakra
• RGIT, Kottayam
• Sree ChitraThirunal college of engineering, Thiruvananthapuram