Mint does not start

[Kartik Sharma]

Well, it was fine, but somehow one day computer got shut down by electricity failure and now it wont start again. Windows 8 runs well.
I even tried reovery mode but no solution .

Here is the pic :

[Fornhamfred]

From what little we can see sda6 is the partition containing the root for Mint and it has been corrupted. If you have a separate home partition then I would suggest that you reformat sda6 and then reinstall Mint.