Depends entirely on the game.
A 1440p monitor would be perfect for the power that card has, keeping things above 60fps on most occasions on the highest settings. However, some games, such as Crysis 3 at the Very High settings will really tax it, causing you to dip below that threshold.
In short, a single 1080p display will almost never be too much for that card, a 1440p possibly, depending on how demanding games get.
If it was me, I'd go for the 1440p, it will handle most games and overall it's a card with a higher pixel count in mind.
I would imagine 4k to be too demanding for the 290x on anything but light games, plus, I think it's worth waiting for more of a market to 4k monitors to come about. All of the high end cards, even dual GPU ones, are struggling with the high resolution at high settings, it may take a while before we see it fully utilised.
I would recommend the ASUS ROG Swift PG278Q, but it is a bit pricey.
http://www.amazon.co.uk/PG278Q-Widescreen-Monitor-2560x1440-NVIDIA/dp/B00LBZLIXG/ref=pd_rhf_gw_p_img_1