Its previous high was 11,761.00, recorded on April 3.
At 9.51 a.m., it traded at 11,762.65, higher by 72.30 points or 0.62 per cent from the previous close of 11,690.35 points.
The Sensex was at 39,194.83, higher by 288.99 points or 0.74 per cent from the previous close of 38,905.84 points.
It had opened at 39,040.30 and so far touched a high of 39,198.23 and a low of 39,038.81 points.
Rise in exports from the country, also boosted the investor sentiment.
India's merchandise exports grew 11.02 per cent, on a year-on-year (YoY) basis in March, to $32.55 billion from $29.32 billion reported for the corresponding month of last year, official data showed on Monday.
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