Benchmark equity indices settled in red on Tuesday due to selling in heavyweights Reliance Industries, ITC, and Bajaj Finance. The BSE Sensex fell by 801.67 points or 1.11 per cent to settle at 71,139.90. The NSE Nifty declined 215.50 points or 0.99 per cent to close at 21,522.10. The majority of the sectors ended in the red, however, buying was seen in PSU banks amid healthy December quarter results.