Okay here we start, if i use tk with a flying character, ie Polaris or magneto ultimates, that has two targets :
option 1 in tk power say:''it may make one close combat attack, so it won't work with my multiple targets if two ennemy are adjacent to my character because multiple targets is only used in range attack, right?
option 2 say:''it may move a target adjacent object...or a friendly character up to ten squares. will it work in this case, i think so because it specify a target, not one like in option 1, and because a flyer can be adjacent and make ranged combat attack so i can use this option with two targets and send two objects, or two friendly characters or one character and one object 10 square away, right?
And option 3 say:''it may make a ranged combat attack using an adjacent object, so if two object are adjacent i can make a multi target attack using two object on two ennemy targets, right?

No, TK can never be used on more than one target. I can't honestly remember the reason why off the top of my head, but I think it has to do with the fact that all three options require a Power Action to activate the TK and I can't recall any Power Action granting multiple targets (things like EE are all Ranged Combat Actions, not Power Actions).

Like I said, I can't remember the specific reason why; I just know that's the way it works. Maybe Hair10 or some of our other rules gurus (I'm looking at you HC1234 and PL!) can shed some light on the reason.

1. The two arrows on Polaris V, for example, are for conducting a ranged attack with base four damage. This has nothing to do with her TK.

2. TK is activated by a power action and can only be used against one target a turn. In response to your specific points:

A. Option 1: A close combat attack has nothing to do with the number of targets a figure may fire on with a ranged combat attack.

B. Option 2: The "a target" is synon -- sinan -- means the same as "one target." Being a flyer has nothing to do with it.

C. Option 3: Again, "a" means "one." A TKer can use one object to make a ranged combat attack.

When a TKer is given a power action that activates TK, it is for one action -- not multiple actions.

There is no reason that is going to be satisfactory...it's just the way that WK ruled it.

It doesn't have to do with power action/ranged combat action since lightning bolts relate to the number of characters that may be targeted with a single ranged combat attack. So a power action that results in a ranged combat attack would normally be able to use the ranged combat attack against multiple targets. (See Mind Control for example.)

Now this does mean that the lightning bolts have no relation to TK option 1 and TK option 2 since neither of those are ranged combat attacks. It would only become involved in TK option 3 -- using an object in a ranged combat attack. Here WolvieFan9 has picked up on part of the reasoning since the rules do say "an object" and "an opposing character." To cement the rule, though, WK added it to the FAQ.

Thanks, Heroclix1234. I thought I was missing something painfully obvious about why you can't make multiple attacks... I am glad to know that it is mostly Wizkids said so kind of thing found in the FAQ. Now I don't feel quite so bad that I couldn't recall the exact reason.

And I even checked the FAQ on TK, and it didn't have anything in there... I suppose we should be asking WK for a cross-referenced FAQ now...