dont use system tables sysobjects from 2005 onwards. they're provided only for backward compatibility. use catalog views like sys.objects instead
In your case you cant use sys.objects too.the below excerpt is from BOL
sys.objects does not show DDL triggers, because they are not schema-scoped. All triggers, both DML and DDL, are found in sys.triggers. sys.triggers supports a mixture of name-scoping rules for the various kinds of triggers.