New persopn (10/27/2015)
Thanks for your information.Is there any query to capture the information like Type of Backup, Mode of Backup information in SQL server
Backups occur on a per database level, and not at the server level, so the scope/assumption is incorrect.
select dbz.name,dbz.recovery_model_desc from sys.databases dbz shows you which db's are in FULL/SIMPLE/ recovery mode, but whether you have an actual backup of those db's, and what type the last ones were require querying the msdb database for last backups.
Lowell