Unable to boot into recovery mode on El Capitan MacBook Air I want to disable System Integrity Protection, So i am trying to run this command csrutil disable On recovery mode, But i am not able to boot in Recovery mode, It keep showing user login screen, I tried to Hold this Command+R combination as well as Command+E+R till The Apple logo shows, But no luck.

This the output of diskutil list command
You could do Command+Option+R to boot into internet recovery (from Apple servers). Ensure a stable internet connection. You can then run csrutil disable in the terminal.

As far as your recovery partition. If it is truly not working, you can delete the partition, download the latest OS X installer from the App Store and then reinstall OS X (this will not delete your files, think of it just like an OS X update). As part of the OS X reinstall, it will add a fresh new recovery partition.

Hope that helps.