If ` alpha and beta` are complex numbers then the maximum value of `(alpha barbeta+baralphabeta)/(|alpha beta|)=`

If alpha and beta are different complex numbers with |beta|=1, then find |(beta-alpha)/(1- baralphabeta)| .

If alpha & beta are any two complex numbers, prove that |alpha+beta|^2+|alpha-beta|^2=2(|alpha|^2+|beta|^2)

If alpha and beta are the zeroes of x^2 - 8x + 1 , then the value of 1/alpha +1/beta - alpha beta is :

If alpha and beta Are different complex number with |alpha|=1, then what is |(alpha- beta)/(1-alpha beta)| equal to ?

If alpha and beta are the roots of equation ax^2 + bx + c = 0, then the value of alpha/beta + beta/alpha is

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is