By Deborah Levine
NEW YORK (MarketWatch) -- Treasury prices rose and the dollar remained higher against the euro on Tuesday, after S&P/Case-Shiller's home-price index rose 0.8% in April. Yields on 10-year notes (UST10Y 2.99, -0.04, -1.19%) , which move inversely to prices, fell 4 basis points to 2.99%, having touched the lowest since April 2009. The euro [c: cur_eurusd] fell to $1.2207, down from $1.2292 in North American trade late Monday. The dollar index (DXY 86.03, +0.37, +0.44%) , which tracks the U.S. unit against six major counterparts, rose to 86.020, up from 85.620.