If `alpha,beta in R` are such that `1-2i` (here `i^(2)=-1` ) is a root of `z^(2)+alpha z+beta=0`, then `(alpha-beta)` is equal to:

If alpha and beta are roots of ax^(2)-bx+c=0 then (alpha+1)(beta+1) is equal to

alpha,beta are roots of x^(2)+x+2=0 are r,s are roots of x^(2)+3x+4=0 then ((alpha+r)(alpha+s)(beta+r)(beta+S))/(11) is equal to

Let A= [(1,2),(-1,4)] . If A^(-1)= alpha I +beta A, alpha, beta in R , I is a 2 xx 2 identity matrix, then 4(alpha-beta) is equal to

Let alpha,beta in R and (alpha-beta i )/(1+2i) =(-6-8i )/(5) . The value of (alpha+beta) is

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) where alpha,beta in[0,(pi)/(2)], then tan(alpha+2 beta)tan(2 alpha+beta) is equal to

If alpha and beta are the roots of 2x^(2) - x - 2 = 0 , then (alpha^(3) + beta^(-3) + 2alpha^(-1) beta^(-1)) is equal to

If alpha,beta, are roots of the equation x^(2)+sqrt(x)alpha+beta=0,beta beta then values of alpha and beta are 1. alpha=1 and beta=12 .alpha=1 and beta=-2 3.alpha=2 and beta=1alpha=2 and beta=-2