The standard grips this chord is usually shown with.
F#mMaj9 is F#, A, C#, E# and G#, a minor major ninth. The shape this page opens on is written 203121, lowest string first.

Also written F#mM9, F#m(maj9) or F#-Δ9. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 7 common shapes for F#mMaj9 on the guitar, and 33 derived voicings in 4 families.
The common shapes, written lowest string first: 203121, 243224, 444665, x-9-7-10-9-x, 9-12-11-10-9-9, 14-12-x-13-14-13, 14-12-15-13-x-x.
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. F#mMaj9 has 2031xx, xx4264, x-9-7-10-9-x, 14-12-15-13-x-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. F#mMaj9 has 2031xx, xx4264, x-9-7-10-9-x, 14-12-15-13-x-x, x0416x, 5-9-6-10-x-x, x-x-6-10-7-5, x-11-15-11-10-x.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. F#mMaj9 has 4x426x, x-11-x-11-10-13, x0x162, x-9-x-10-9-5, 5-x-6-10-7-x, 14-x-15-13-10-x.
Rootless. The root left to the bass player. Frees a finger for a tension. F#mMaj9 has x0312x, xx3224, xx6665, x-11-11-10-10-x, x0x121, x4x264, x4626x, x8x695.
Tensions. A shell of F#mMaj9, root, third and seventh, leaves a string free, and the tones that belong over it are the 11 (B) and the 13 (D#).
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.