Matching display to graphic card

[academica]

My notebook is HP Pavilion dv6-7025tx Entertainment Notebook PC, CPU is Intel Core i7-3610QM.

Graphics card (integrated) is Intel Ivy Bridge-MB GT2 - Integrated Graphics with Graphics chipset Intel HD Graphics 4000.

Second graphics card is NVIDIA GeForce GT 650M [HP] with Graphics chipset NVIDIA GeForce GT 650M.

The notebook has 2 USB 3.0 and 1 USB 3.0 SuperSpeed ports, 1 HDMI port and no DisplayPort.

I don't use the notebook for games, rather as a desktop replacement for office apps, graphics and video processing.

I want to buy an external monitor in order to see more open windows on one screen.

People say Intel HD Graphics 4000 cannot achieve more than 1920x1080 on a hi res monitor.

NVIDIA says GeForce GT 650M max resolution is 3840 x 2160.

Questions:

1. What is the maximum resolution of the external monitor I should buy to use the full capacity of the hardware?

2. How can I switch on the NVIDIA card and override the integrated graphics card?

3. What kind of a cable I should buy to connect the HDMI port to the monitor?

 

[Metalauxilia]

It should run the external display off the the Discrete Nvidia card because they usually take preference to integrated graphics when they are available. Resolution is really a matter of preference some people are fine with 1080p other want as high as they can get it would just be cheaper to get a 1080p capable monitor. And if you get a monitor with an HDMI port then all you need is an HDMI cable.

 

[dark_lord69]

"1. What is the maximum resolution of the external monitor I should buy to use the full capacity of the hardware?"
"You need to manually add a new resolution to the Intel driver (Display -> Custom Resolutions) to use a resolution of 2560x1440 via HDMI."
These "people" are wrong.
http://www.notebookcheck.net/2560x1440-or-2560x1600-via-HDMI.92840.0.html

"2. How can I switch on the NVIDIA card and override the integrated graphics card?"
The nVidia card should be the default and on most laptops the onboard is just disabled but if not then it has switchable graphics. The drivers/setup will need to be set for performance mode. This setting (if available) can be found in your graphics driver settings.


"3. What kind of a cable I should buy to connect the HDMI port to the monitor?"
HDMI from computer to monitor, just an HDMI cable