The standard grips this chord is usually shown with.
C#mMaj7 is C#, E, G# and B#, a minor major seventh. The shape this page opens on is written x4211x, lowest string first.

Also written C#mM7, C#m(maj7), C#-Δ7 or C#minMaj7. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 6 common shapes for C#mMaj7 on the guitar, and 26 derived voicings in 3 families.
The common shapes, written lowest string first: x4211x, x46554, x76698, x-x-11-9-9-8, 9-11-10-9-9-9, x-x-11-13-13-12.
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. C#mMaj7 has x425xx, x4x55x, 9-7-10-x-x-x, 9-x-10-9-x-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. C#mMaj7 has x3212x, x4655x, 8766xx, x-x-10-9-9-9, 9-11-10-9-x-x, x-x-11-13-13-12, x-15-14-13-14-x, 4425xx.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. C#mMaj7 has x3x120, 4x252x, x4x554, 8x665x, x7x698, x-11-x-9-13-9, 9-x-10-9-9-x, 12-x-11-13-13-x.
Tensions. A shell of C#mMaj7, root, third and seventh, leaves a string free, and the tones that belong over it are the 9 (D#), the 11 (F#) and the 13 (A#).
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.