From Longman Dictionary of Contemporary Englishajara‧jar /əˈdʒɑː $ əˈdʒɑːr/ ●○○ adjective [not before noun] OPENa door that is ajar is slightly open
Examples from the Corpus
ajar• To his right was a large walk-in cupboard, its door slightly ajar.• I went back to the door and opened it, leaving it ajar.• She had left her bedroom door ajar and could hear her parents talking downstairs.• Sometimes the door was ajar and I would see her sitting absolutely still, staring into space, not reading at all.• The door was ajar and Patrick could see movement inside the room.• I noticed that the door to it was ajar and realized what had happened.• The door was ajar, letting out the warmth and scent of heaven.Origin ajar (1600-1700) on char, from on + char “turn, piece of work” ((11-17 centuries)) (from Old English cierr) 