I want to do projects to make my resume more appealing to game companies. So I am going to start buying books. But I don\'t know rather to read DirectX 9 or 10 api books to
If your intention is really to learn a skill that you would use in the game industry, stick with DirectX 9. Since DirectX 10 and 11 both require Vista or Window 7, game developers are still mostly ignoring them and targeting DirectX 9 in order to have support for Windows XP.
That being said, it doesn't really matter which you start with. The differences are not that large. If you understand the concepts behind 3D APIs and how the GPU pipeline works, you can pick up any of the three or even OpenGL with minimal effort.