B.Tech

You should have a post-graduate degree with at least55% of marks for general category and 50% marks in the case of SC/ST category or equivalent CGPA in the concerned subject or in an allied subject or any other post-graduate degree recognized by the University as equivalent thereto.
In addition, you should be In-Service satisfying the above eligibility conditions to be able to apply for part-time. Admission into part-time programmes will be made in the specified order of priority as given below, with service seniority in each category:
Teachers working in the University or the A.U.P.G. Centres. Teachers working in Post graduate and professional colleges (not applicable if you are teaching Physics, Chemistry, mathematics and Humanities in professional colleges) or, Lecturers / Librarians / Asst. Librarians working in affiliated degree colleges teaching physics, chemistry, mathematics and Humanities in professional colleges or Teachers working in Polytechnic / Government Junior Colleges. Technical employees working in research institutes attached to Andhra University / Non-Teaching employee of Andhra University, A.U.P.G. Centres having completed at least five years of service.

First, I will tell you the difference between the both have a look. There is not much difference between both. You can either go for BE or B.Tech. It is one and the something.
Bachelor of Engineering:
BE is considered as knowledge-oriented course. More emphasis is laid on theory and focuses on strong fundamentals. Being more knowledge oriented, course curriculum is updated but not as frequent as the other. Internships and industrial visits may be an essential part of the curriculum. Generally, universities offering other degrees (like Science, arts, education etc.). Along with engineering named their engineering degree as B.E. Bachelor of Technology
B.Tech is considered as skill-oriented course. More emphasis is laid on practical applications rather than theoretical aspects. Being technology oriented, course curriculum is considered as more up to date. Internships and industrial visits are a mandatory part of the curriculum. Generally, institutes (including IITs) offering only Engineering studies named their degree as B.Tech.