Speaker for 11x12 room

Guys the piano would be behind me close to the rear wall . 
the speaker would be near the glass door and I would put thick curtain. So basically my back is facing the piano. 
that was my initial idea at least. Or you think I should be pity the speakers on the 2.6m wall and I should sit with my back to the glass door??

im not going to buy new speakers, only used so I can max out my money on better speaker.

any suggestions regarding the speaker placement/ room treatment is more than welcome!!!

 Big glass door may produce a lot of high frequency reflections

The  speakers would be better placed , imo , on the 2.6m wall.    
Diffusion panels on that wall .

That also depends on the kind of piano  : upright piano or grand piano ?

What about a swivel chair .  You could see all around .

11x12 room with an audio system AND a piano? Ah, ok….

The piano is pretty small. It’s upright. idk why I haven’t thought about it I will put it in the bedroom. Unless it will benefit the room acoustics haha. Anyway I don’t want to hug the back wall so it doesn’t really in the way ;)

I would put it on the right wall first.
Here is a list  of 2500-5000 USD speakers so that it may fit your budget used

https://azenfalum.com/diaglist23.htm