The standard grips this chord is usually shown with.
C69 is C, E, G, A and D, a six-nine. The shape this page opens on is written x32233, lowest string first.

Also written C6/9, C6add9 or C six nine. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 9 common shapes for C69 on the guitar, and 50 derived voicings in 5 families.
In which keys. Every note of C69 belongs to C major (the I), D minor (the ♭VII), E minor (the ♭VI), F major (the V), G major (the IV) and A minor (the ♭III).
The common shapes, written lowest string first: x32233, x30055, x55555, 877788, x-x-10-9-10-10, x-10-10-9-10-10, x-12-12-12-13-12, x-15-12-14-13-12, x-15-14-14-15-15.
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. C69 has x3223x, 8777xx, x-x-10-9-10-10, x-15-14-14-15-x.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. C69 has xx0210, 0302xx, x3223x, x5755x, 8777xx, x-x-10-9-10-10, x-x-12-14-13-12, x-15-14-14-15-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. C69 has 0x021x, 5x253x, x3x230, x5x555, 8x775x, x-7-x-7-10-8, 10-x-10-9-10-x, x-12-x-9-13-10.
Rootless. The root left to the bass player. Frees a finger for a tension. C69 has x0203x, xx2233, xx5755, x7778x, x-x-12-12-10-12, x-x-14-14-15-15, x5525x, x5x253.
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. C69 has 00007x, x00070, 000032, 0x0075, 5x0070, 0005xx.
Tensions. A shell of C69, root, third and seventh, leaves a string free, and the tones that belong over it are the #11 (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.