Active 3D uses rapidly switching filters in the glasses to deliver the 3d effect which while it does give full 1080p hd has drawbacks such as the weight of the glasses(Battery and sync system built into frame) and prolonged use of the flicker has led a lot of people to complain of headache or eyestrain.
Coupled with the fact that glasses for active 3D start at @£80 making losing or sitting on a pair very expensive!
Passive glasses can be brought home from the cinema, or replaced for @£1 a pair!!! Making family movie nights, mates round for sports inexpensive and fun
My TV came with 7 pairs of passive glasses...Add the cost of 5 extra pairs of active glasses to the 1500 your mate is paying for his TV and then imagine a broken lost pair every 3/4 months!
Also active system suffers from Ghosting/Crosstalk particularly on LCD as a by product of the lower response time in rapid flicking between Left/Right images.
Plasma is better for crosstalk but no active system can eliminate it
Passive uses a special coating on the screen along with in TV processing to deliver the 3D image via same glasses used in Cinema's, ultralight weight and comfortable glasses vastly reduced crosstalk (Some claim its impossible on a passive...Its not but much less common) And gives a much much wider range of viewing angles,
Active only works best in a narrow range of angle from centre of TV, Whereas Passive is much wider before the effect falters.
The passive system makes prolonged use much easier, no 'flicker' headaches or need to recharge or resync the glasses.
There is an argument over whether passive is a 'full' hd image due to the way it is delivered but LG's latest has been certified Full HD by Intertek.