opengl problem

In my HP laptop, I have both Intel HD graphics and Radeon HD 6770. As stated, I m unable to use OpenGL 4.1 as ATI Card support it but intel’s does not seem to support. How can I bypass intel and use ATI card to use opengl 4.1???

You need create you application window on the monitor that connect with ATi card.

You need to check the driver HUD (ATI Catalyst) to set the current device to be the ATI card instead of the Intel one.
On the side node, i am not sure if you might be able to run your app on the ATI hardware because a friend of mine has an HP notebook having a similar config. as yours but even if he puts the current hardware to ATI, the renderer is always Intel.
you can check the current rendered by getting the value of GL_RENDERER.