Which one is correct?
Do you want to play or eat?
Do you want to play or to eat?
Do you want to play or do you want to eat?

Thank you for your help!

Question

Which one is correct?
Do you want to play or eat?
Do you want to play or to eat?
Do you want to play or do you want to eat?

Thank you for your help!

Answer

Yes! All three are correct. I think the first and the third option would sound most natural when speaking.

Answer

All of them are grammatical and they all have the same meaning.

English allows speakers to drop the "to" in an infinitive if it is understood.  The conjunctions "or" & "and" can be followed by the verb without the "to" thereby shortening the sentence but not losing the meaning.
She wants to exercise and (to) run.
She wants to exercise and (she wants to) run.