Fresh bouts of dollar demand from banks and importers mainly attributed to rupee sentiment, though sustained foreign capital inflows restricting its further fall, a dealer said.
In New York market, the dollar remained strong against the basket of currencies after Congress passed a bill to avoid much of the fiscal-cliff tax increases and delayed spending cuts.
Meanwhile, the Sensex firmed up by 31 points or 0.16% to 19,745.65 at 1100 hrs.