64.098 United States Dollar
The currency had dropped to as much as 64.13 on persistent dollar demand after closing at Rs 62.13 on Monday.
Dealers say the RBI may have to keep intervening in the forex market as dollar strength is prevalent in a host of other Asian currencies.
According to news reports the Ringit touched a 3-year low, while the Indonesia rupiah slid to a 4-year low.
Fears that the Federal Reserve may withdraw its stimulus has pushed stock prices lower across markets, and pushed the currencies of countries whose current account deficits are high.Check currency rates here