If `alpha,beta` are complex number such that `|alpha+beta|^2=|alpha|^2+|beta|^2+2k` then k=

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 complex cube roots of unity, show that alpha^2 + beta^2 + alpha beta =0

(alpha + beta)^(2) - 2 alpha beta =

Factorise alpha^2 +beta^2 + alpha beta

If alpha, beta are the zeros of kx^(2)-2x+3k such that alpha+beta = alpha beta then k = ?

If alpha" and "beta are complex numbers such that |beta|=1, " then "|(beta - alpha)/(1-bar(alpha)beta)|=

Two complex numbers alpha and beta are such that alpha + beta =2 and alpha ^4 + beta ^4 = 272 , then the quadractic equation whose roots are alpha and beta is

If alpha , beta are the roots of ax^2 + bx + c=0 then alpha beta ^(2) + alpha ^2 beta + alpha beta =

Find alpha^(2)+beta^(2)+alpha beta =?