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B.Tech. Mechanical Engineering or Bachelor of Technology in Mechanical Engineering is an undergraduate Mechanical Engineering course. Mechanical engineering is a discipline of engineering that applies the principles of physics and materials science for analysis, design, manufacturing, and maintenance of mechanical systems.

• As a mechanical engineer, you could become involved in design, manufacture, research, development, management, or marketing.
• Mechanical engineering played a vital part in the design, manufacture and installation of the Eye, something that was originally believed to be impossible. Now it is both an extremely popular tourist attraction and an inspiration to future engineers.
• They can work in transport, health, defence, manufacture, and any related field. A limited number of Mechanical Engineers worldwide provides Mechanical Engineers good earning opportunity.
• Graduates can go for their Masters’s degree program to become a lecturer in their respective interested subjects.
• Job types- Technician, Sales Engineer, Manager, Process Development Technologist; Assoc., Prof./Asst. Prof./Professor; Laboratory Technician, Design Engineer

B.E. Electronics and Instrumentation Engineering or Bachelor of Engineering in Electronics and Instrumentation Engineering is an undergraduate Instrumentation Engineering course. The responsibilities of Electronics and Instrumentation Engineers will be with the design, construction and maintenance of instruments and entire instrumentation systems of any industrial undertaking.

• The course is beneficial to encourage continuous knowledge and skill development; to work effectively as a member of a multi-disciplinary development team and provides a sound foundation for people wishing to pursue a career in electrical engineering, communications, control systems, robotics or sensor systems, through a diverse range of theoretical skills and practical experience, presented in the context of real applications and design experience.
• The course enables the students to pursue a career in the measurement and control of complex industrial & electrical processes.
• Modules of this program train the student to plan, design, install, operate, control and maintain complex systems that produce materials.
• The course equips the students to apply theoretical knowledge to real-world engineering problems and to manage complex engineering projects.
• Job types- Instrumentation Manager, Instrumentation Design Engineer, Plant Engineering Manager, Controls and Instrumentation Engineer, Electronics Engineer/Manager, Hardware/Electronics Engineer, Teacher/Lecturer.

I have given you detailed information about both the courses. After this it totally depends on your interest and career plans which stream of engineering you want to pursue. Choose totally depending on your interest. Because no matter how good a college placement facilities are, you won't enjoy your studies if you ain't interested in the branch you select, this will eventually make it difficult for you to get placed. Whereas if you select a branch you really are interested in, then you can easily get placed. All the best!