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Please explain B.P.T theorem

Directions : Below is given a question followed by two statements numbered I and II. The question may be or may be not answered with the help of these statements. You have to decide If these statements are sufficient to answer the the questions. Give answer ls A the mother of B? Statements: I. B is the son of A. II. A is older than B.

If omega is the imaginary cube roots of unity, then the number of pair of integers (a,b) such that |aomega + b| = 1 is ______.

If omega is the imaginary cube roots of unity, then the number of pair of integers (a,b) such that |aomega + b| = 1 is ______.

If omega ( != 1) is a cube root of unity and (1+omega)^7 =A+B omega , then A and B are respectively the numbers

If a and b are positive real numbers other than unity, then the least value of |"log"_(b) a + "log"_(a) b| , is

If a and b are positive real numbers other than unity, then the least value of |"log"_(b) a + "log"_(a) b| , is