NEW YORK, Feb 10 : Major stock indexes were mixed on Tuesday, with a world equity index and the Dow hitting record highs although other key U.S. indexes weakened, while Treasury yields fell after U.S. data suggested the economy may be softening. The yen was up again in the wake of Japanese Prime Minister Sanae Takaichi's decisive weekend election victory. Earlier, the Nikkei 225 hit a fresh peak.  The dollar traded mostly lower against major currencies following the U.S. data and after U.S.