NEW DELHI (Dow Jones)--Cairn India Ltd. (532792.BY) said Tuesday it has started supplying crude oil via pipeline from its field in the state of Rajasthan as the first phase of the line is now operational. The first phase of the pipeline that runs between Rajasthan's Barmer and Gujarat's Salaya is now operational to send oil to private refineries, the oil and gas explorer said in a statement. Cairn India holds 70% stake in the Rajasthan block and the rest is held by Oil & Natural Gas Corp. (500312.BY). - By Rakesh Sharma, Dow Jones Newswires; +91-11-4356-3334; [email protected] (END) Dow Jones Newswires June 15, 2010 06:31 ET (10:31 GMT)