Hello there

Ipu has a variety of courses to chose from .Since you have not mentioned your course so I cannot provide you the cutoffs but still here is the link for cutoffs for btech

https://www.google.com/amp/s/engineering.careers360.com/articles/ipu-btech-cutoff/amp

To know about the books first you have to check what's the syllabus of the entrance exam and then get your books according to that

Yes you can appear for ipucet  doesn't matter in which state you are living at but there are some reservations for delhi students so you might face some competition there in the exams .

Check out this link

https://www.careers360.com/exams/ipu-cet

Best wishes