Personally I think C/C++ is still relevant, and it's my language of choice, but I'm not close-minded about it. For example, in developing my OCR functionality, I discovered how wonderful Python was, because it was a sane programming language, and allowed for much quicker development and progress than C++. I'm now a Python convert, although I still have many more miles to travel before I can become a competent Python programmer. In addition, Javascript is a lot more powerful that I imagined, and it looks like a lot of people are turning Javascript into something a lot more powerful, ex. Node.js. If I had to put my money behind the languages that might really blow up in the near future, it's Javascript and Python.
As to the career opportunities of C++, I can't really speak for that because trends change quickly. The key is to be flexible and open-minded, and not get stuck in a particular pigeonhole otherwise you'll find yourself like COBOL programmers in the late 90s. You will definitely learn a lot by going the C++ route, and being "closer to the metal" as some people say, you can and will learn a lot of different concepts that aren't available to many other languages, like memory-management, etc. It might make it easier to take up other languages in the future, as well, so it's not something I would discourage anyone from learning.