Benchmark equity indices settled on a flat on Tuesday after a record-breaking rally as the domestic market stabilized awaiting further triggers. After trading in green for most part of the session, the BSE Sensex declined 33.49 points or 0.04 per cent to settle at 76,456.59 due to fag-end selling. The NSE Nifty settled marginally up by 5.65 points or 0.02 per cent to 23,264.85.