The standard grips this chord is usually shown with.
Amaj11 is A, C#, E, G#, B and D, a major eleventh. The shape this page opens on is written x00120, lowest string first.

Also written AM11, AΔ11 or A major 11. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for Amaj11 on the guitar, and 58 derived voicings in 5 families.
In which keys. Every note of Amaj11 belongs to F# minor (the ♭III) and A major (the I).
The common shapes, written lowest string first: x00120, x00224, 54xx34, 556655, 556657, xx7799, 10-0-9-9-9-9, x-12-11-13-10-10, x-12-12-13-14-12.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. Amaj11 has 5x663x, x0663x, 5467xx, x-x-7-6-9-10, x-12-x-13-14-10, x-12-11-13-15-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. Amaj11 has x0012x, xx0224, 4402xx, 5566xx, xx7799, x-12-12-13-14-x, x4623x, xx6635.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. Amaj11 has x4x234, 4x022x, 5x663x, x5x695, 9x779x, x-11-x-7-10-9, 10-x-11-13-10-x, x-12-x-13-14-10.
Rootless. The root left to the bass player. Frees a finger for a tension. Amaj11 has x2012x, xx0120, xx0424, x5665x, xx9799, x-x-11-9-9-10, x-14-12-13-14-x, x4213x.
Open string. An open string left ringing against a fretted grip. Because it costs no finger, it sounds a note the closed shape has none left for -- a tension on top, or a pedal root underneath. Either a familiar grip with open strings added, or a shape so sparse the open strings carry the chord. These belong to their key rather than to a shape, so D, A, G and E have many and Eb a handful. Amaj11 has 556600, 5x6630, 54670x, 040434, 04643x, x46430.
Tensions. A shell of Amaj11, root, third and seventh, leaves a string free, and the tones that belong over it are the 13 (F#).
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.