You can view the entire presentation here!

A few notes:

• Although both games tell the same story, the games will play differently. Similar to the Ni No Kuni situation.
• The PS4 and 3DS version are slated for 2016 to coincide with the franchise's 30th anniversary.
• The two games will still have the same core staff working on them.
• Is being made for the PS4 and 3DS (New 3DS Only?)
• DQX will be released on PS4 at a later date.
• DQXI, as well as DQX, is being considered for the Nintendo NX (probably the PS4 version?)
• PS4 version is developed with the assistance of Orca.
• PS4 version runs on Unreal Engine 4
• PS4 version is open(-ish?) world. Similar to DQVIII
• 3DS version is developed with the assistance of Toy Logic.
• 3DS Version presents a classic 2D Sprite style on the bottom screen.
• 3DS version will have 2D sprite battles + random battles when playing with the D-Pad and 3D battles when playing with the circle-pad.

3DS footage.

Some GIFs:

~Mod Edit~

Added (a lot of) information that will hopefully answer some questions and clear some confusion.

-Smeags

And here I thought it would be home console only! I guess its for both. Awesome stuff

Are you being serious with that title?

Oookey... It seems SQ is not sure in PS4 selling power, so they are backing themselves up with 3DS...

Is not a lie and I gave all the info in the OP, whats wrong?

It's not a lie, but you cherry picked very hard.

Did I say you lied? It's like you're trying to troll with that title.

So both DQX and XI are going to the PS4?

If someone thinks the OP is wrong they are welcome to make their own, you guys take everything way too seriously

Well... Damn. I guess I owe that one guy an apology. I think his user starts with an 'A'.