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The operating ssytem of your iPad is corrupted. You have to restore your iPad's OS from iTunes on your computer. You can restore it by putting it to DFU (Device Firmware Upgrade) Mode. DFU Mode is a mode which will allow you to restore your iPad to working condition. Put your iPad to DFU (Device Firmware Upgrade) Mode and restore it from iTunes. Follow the steps below to put your iPad to DFU Mode;
Note : Put it to DFU Mode while connected to computer and also in DFU Mode your iPad will remain blank.
If you don't have iTunes, download and install latest version from here : http://www.apple.com/itunes/download/
Remember, this will erase everything from your iPad and that is your only choice.
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