How to connect android device to projector? I have galaxy note 2 ( N7100). I want to know is there any way I can give phone output to the projector.  

I don't know even, if it is possible.
Yes. As the Samsung Galaxy Note 2 supports MHL for video output, this is possible (with a special cable) if the projector supports MHL input, or with a bigger adaptor if it doesn't. See my answer on How does MHL work? for more details.