Hi Gurbir,
> If we implement Oracle data Guard with 11.2.0.3 than can we start the SAP in read only mode?
No, this is not possible (unfortunately). This is also the main trade-off with Active Data Guard and SAP.
> Or if it is not possible than how can we check whether SAP will run at the time of activating the Data Guard?
You can convert your standby database to a snapshot standby database (Using Snapshot Standby), start your SAP system in DR site, test it, revert the database to a physical standby database and proceed with usual business.
Regards
Stefan