यदि alpha, beta ne 0 , f (n) = alpha ^(n) + beta ^(n) तथा = k(1- alpha)^2 (1- beta)^2 (alpha - b...

If alpha,beta are the roots of x^(2)-2x+4=0 then alpha^(n)+beta^(n) is

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

If alpha,beta in(-(pi)/(2),0) such that (sin alpha+sin beta)+(sin alpha)/(sin beta)=0 and (sin alpha+sin beta)(sin alpha)/(sin beta)=-1 and lambda=lim_(n rarr oo)(1+(2sin alpha)^(2n))/((2sin beta)^(2n))

If f(alpha, beta) = cos^(4)alpha/cos^(2)beta + sin^(4)alpha/sin^(2)beta then prove that f(alpha, beta) =1 ⇔ f(beta, alpha) =1 .

If A=[alpha beta gamma-alpha] is such that A^(2)=I, then 1+alpha^(2)+beta gamma=0( b) 1-alpha^(2)+beta gamma=0 (c) 1-alpha^(2)-beta gamma=0 (d) 1+alpha^(2)-beta gamma=0

Let alpha and beta be the roots of x^(2)-6x-2=0 with alpha>beta if a_(n)=alpha^(n)-beta^(n) for n>=1 then the value of (a_(10)-2a_(8))/(2a_(9))

If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^(2)+bx+c, then evaluate: (i) alpha-beta( ii) (1)/(alpha)-(1)/(beta)( iii) (1)/(alpha)+(1)/(beta)-2 alpha beta

If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 such that alpha ne beta and ||x-beta|-alpha|| le alpha , then