how to get video images in facebook while posting url

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MVC

Facebook-API

i have mvc 4.0 application, in one of the view consists youtube video, when i copy that url and trying to post that url in facebook, in facebook its not show image of my video in my mvc app,

for you to understand problem, try copy one video url in youtube & post that url in facebook, immediately it displays image of that video in facebook post, i want that functionality to implement in my asp.net mvc.

Plz any once can help me