[" If "alpha" and "beta(alpha

If alpha ne beta, alpha^(2)=5 alpha-3, beta^(2)=5beta-3 , then the equation having (alpha)/(beta) and (beta)/(alpha) as its roots is

| alpha alpha1 beta F|=(alpha-P)(beta-alpha)

If the roots of x ^(4) -10 x ^(3) + 37 x ^(2) - 60 x + 36 =0 are alpha, alpha , beta, beta (alpha lt beta), then 2 alpha + 3 beta - 2 alpha beta=

The expression (tan alpha+tan beta)cot(alpha+beta)+(tan alpha-tan beta)cot(alpha-beta) is independent of both alpha and beta.

|(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)| is independent of

A nucleus with z= 92 units emits the following in a sequence. alpha, beta^(-) , alpha, beta^(-) , alpha, alpha, alpha, alpha , beta^(-) , beta^(-) , alpha,beta^+ , beta^+ , alpha . The Z of the resulting nucleus is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0