The Indian equity market closed flat on Tuesday, with the Sensex and Nifty extending their losing streak. The BSE Sensex slipped 20 points to 84,675.08, and the NSE Nifty 50 eased 3 points to 25,938.85. This flat performance occurred amid thin year-end trading and ongoing concerns about foreign fund outflows, which contributed to investor caution and light trading volumes.