well bro, I have city 2012 with me and it NEVER did such a thing, even at speeds exceeding 120kph.
I have merely a thumb resting on the steering wheel while driving it.
Well, a problem such as urs can be caused by a small issue like uneven tyre pressure to major issues like deshaped chimtas due to a very hard jump etc...
as u have mentioned ur problem, I would also suggest like fahad bhai did, get your chimtaas examined by a mech.
as far as I remember, u told us sometime back that u got new rubber for ur car, right? In that case, I am presuming there is no issue like tyre deshaping etc...