ukulele chords imagineWhich Ukulele/Guitar Chord Is This?

I have a ukulele, i'm not sure if it is the same for both. But it is very similar to the F chord, if you can imagine the F chord, it is the same but instead of having your finger on the second string of the first fret, it is on the third string of the first fret, and the other finger is still on the last string of the second fret. In other ukulele chords imaginewords, this chord has one finger holding down the last string of the first fret and a finger holding down the third string of the first fret. I need to know what that chord is called! Thank you in advance.
Let me see if I understand you correctly. An F Major chord at the "open" position is fingered (2010) <- highest sounding string #1 is toukulele chords imagine the right and the numbers indicate the frets. This sounds the following note (in same order) (A C F A) which are an F Major (F, A, C) (root, third, fifth) and an added third.

The chord you are asking for is fingered (2100) and sounds the notes (A C# E A). This is an A Major chord (A, C#, E) with and added A note.
F minor.