REMOVE BABYLON SEARCH WHICH APPEARS WHENEVER START FIREFOX. 

 Sometimes when we download some application from net, then some toolbar and search engine is    automatically install in browser.

There are some steps which will easily remove it,

To reset your home page, do the following.

• Go to the site you want to set as your homepage.
• Click the orange Firefox button and go to Options | Options | General (Firefox 4.0.x and above).
• Go to Tools | Options | General (Previous version of Firefox).
• Make sure it says "Show My Homepage" in the first dropdown menu.
• Click the button called "Use Current Pages" to set the homepage to the one you have on the screen

Still this problem occur then..

Tools>>Add-ons>>Extensions>>Remove Babylon.