Active preamplifiers are generally required when the input has a high "input impedance".
Actually, the opposite is true. The input impedance of an amplifier is a measure of how much current it will draw and the higher it is, the more difficult a load it is. Conversely, the output impedance of a preamp is a measure of how freely current flows from its output and the lower it is, the more capable it is to drive difficult loads. Consequently, when driving difficult loads (i.e. amps with low input impedance), a preamp with low output impedance is best suited. Generally speaking, solid-state active linestages have the lowest output impendance.
Passive preamps are best suited to amplifiers with relatively high input impedance. I've heard the "rule of thumb" that your amp's input impedance divided by your preamp's output impedance must be 10 at minimum. VTL, I believe, says a factor of 200 is minimum. Who's right? I would defer to the manufacturer of your amp. Ask them, and they should give you the best recommendation.
Some more things to consider regarding passive preamps:
1. Without proper impedance matching, the combination of source impedance (preamp) and interconnect cable can act like a low-pass filter, as the high frequencies will be rolled off at a rate equal to the source's output impedance times the capacitance of the cable being driven. For this reason, passives should be mated with shortest possible interconnects of the lowest possible capacitance.
2. Since passive linestages are not buffered, its output impedance will vary as its volume attenuator is turned. This is because the resistance of the volume pot (or stepped attenuator, or whatever it's using) gradually decreases as your turn the volume up. When this function is combined with the capacitance of the IC used, this might result in non-linear frequency response (treble rolloff) that varies with the volume setting.
In short, the are a large number of circumstances (e.g. the voltage output of your source, the gain of your amp, the sensitivity of your speakers, the capacitance of the cabling you use, your preferred listening level, etc.) that may determine whether a passive will work best in your system or not.