Can I use Microsoft Visual Studio 2010 with Red Hat Enterprise Linux 6? Or is there any other IDE like visual studio 2010?

Using Microsoft Visual Studio on Linux wouldn't make sense at all. At first, Windows programs are not compatible with Linux. You may be able to run it with Wine, but there is no guarantee for it working correctly (or working at all). Also, even if you would be able to run Visual Studio, the programs you compile would still be Windows programs. They would have the same problem as Visual Studio itself.

If you want to develop on Linux and need an IDE have a look at Eclipse.

apart from what TobiSGD has mentioned...

you neeed to be clear as what kind of application you are trying to develop.

You can develop cross-platform applications (eg. for Windows) on Linux. Have a look at:
QT
it uses C++, if you were looking to use VC++ then QT will be easy to settle into

or have a look at GAMBAS, its a lot like Visual Basic.

Linux is a very powerful development platform, you just have a explore the right tools for the job...

There are many more IDEs than the two i've mentioned here...have a look around.

Good luck.