To be able to set automaticly the Output Coordinatsystem to geoprocessing Environment to the same as current Dataframe.
IGeoProcessor.SetEnvironmentValue sounds like what you need (http://resources.arcgis.com/en/help/arcobjects-net/componenthelp/index.html#//002n0000014r000000 )
Haven't tested it myself, but I think it should be some code like this: gp.SetEnvironmentValue("outputCoordinateSystem", theCoordiSysYouWant)
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