I'm not getting any leads how to check whether user has like the feed or not. I'm displaying all the feeds of my page and I want to know whether user has liked the feed or not. One solution is get all the likes and search for our id, that is not a good approach.

/me/likesis for getting the liked Facebook Pages only, and you need theuser_likespermission for that. Afaik there is no way to check if a user likes a specific post, you could only access the post with the API and go through the likes (/post-id) - but you would not be able to match the IDs to the authorized user (global !== app scoped id).