Welcome aboard.
The recovery partition
usually but not necessarily contains a Factory Image, with which one can restore the laptop to the factory condition. It cannot be used to create a backup image.
Check whether Dell DataSafe Local Backup is installed on your laptop.
1.If it is, you can create System Recovery Media using it.
If it is not, try to download and install it from
http://dslbdownload.datasafelocalbackup.com/dsldownload-en.html . If you manage to install it successfully

, you can create the recovery disks. (If at the first step of the download process itself or during the installation, you get a message that there is no Win Recovery Environment or Factory Image on your HDD, you are out of luck.)
2. If your laptop has a Seagate (most probable) or Western Digital HDD - which you can verify from the Device Manager, you may download Acronis Imaging Software from their website and use it for backing up your system.
Seagate:
| Seagate
Western Digital:
WD Support
IMO, this will be a better option than using the Windows built-in imaging. (Brink and marsmimar may please excuse)
3. You may also choose Paragon's Backup and Recovery 2011 (Advanced Free)
Free Backup Software: Paragon Backup & Recovery Free Edition - Overview my recommendation, though most in this forum recommend the Macrium Reflect Free.
Keep the backup image saved to an external HDD.
4. If you do not want to do any of the above

, contact Dell India Tech Support who may be able to provide you the Reinstall Disk for a fee or even free.
EDIT: OK. I see that you are in U.S.A. most probably. If so contact Dell Tech support there.