the mechanisms of why azeotropes form are described in general terms on wikipedia (https://en.wikipedia.org/wiki/Azeotrope).
in order to confirm experimentally that a mixture forms an azeotrope you need to do a compositional analysis of the vapor and liquid phases at the conditions of interest (e.g. constant temperature or pressure).
The American Chemical Society has published several books in its "Advances in Chemistry" Series - "Azeotropic Data" which may be available in university libraries.
The CRC Handbook of Chemistry and Physics has a partial list.
If your institution has access to a process simulator (most chemical engineering departments), then this can predict many.
There are a number of theoretical (calculation/computation) methods which predict from properties. Leonardo (above) has given some, but others are easy enough to find (though not necessarily easy to use).
Azeotropes are quite predictable using the boiling points and chemical nature of the molecules. See: "CORRELATION OF AZEOTROPE DATA" by G. H. EDULJEE and K. K. TIWARI in Chem Eng. Sci, vol 31, p 535, 1976. Little cited, but very useful, IMHO. Check it out on Google Scholar.
I want to confirm it theoretically. I want to know at what composition will the mixture of A and B will form an azeotrope and what difference will it make in VLE data or TXY/PXY diagram. How can I do it theoretically?