June 23 (Reuters) - The Nasdaq hit a record high shortly after the open on Wednesday with investors razor focused on business activity data after Federal Reserve officials sought to calm fears of a sharp tapering of monetary stimulus. The Nasdaq Composite rose 10.1 points, or 0.07%, to 14263.381 at the opening bell. The Dow Jones Industrial Average rose 3.0 points, or 0.01%, at the open to 33948.54, while the S&P 500 rose 2.8 points, or 0.07%, at the open to 4249.27. (Reporting by Medha Singh in Bengaluru; Editing by Maju Samuel) Our Standards: The Thomson Reuters Trust Principles.