I have passed the andhra university entrance exam with 1800 rank ... so could you please suggest to which type of engineering could I take?
Congratulations on your good result. The branch preference varies from person to person. So, you have to move with your interest. According to me, I prefer the branches ECE, EEE as they are the core oriented and have more scope of future. Other branches too have a future scope but it is according to my interest.
From your rank, you can get admission into various branches of the college according to the previous cutoffs.
This year trends may vary, so there is a chance for you get into any of the branches if you try harder. You can refer and compare the branches for more information from the below link:
http://www.careers360.com/colleges/andhra-university-college-of-engineering-visakhapatnam/cut-off
Hope you find a good branch which suits you.

Total fee for ECE is 3.80 lakhs and for EEE is 3.61 lakhs.
Mess charges are around 66,000 every year.
You can refer for other branches with the following link:
http://www.careers360.com/university/andhra-university-visakhapatnam/courses