If `x=-1` and `x=""2` are extreme points of `f(x)""=alphalog|x|+betax^2+x` , then (1) `alpha=-6,beta=1/2` (2) `alpha=-6,beta=-1/2` (3) `alpha=2,beta=-1/2` (4) `alpha=2,beta=1/2`

If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x^2 + x , then

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If : sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2), "then" : tan (alpha+2beta)*tan(2alpha+beta)=

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

Let -pi/6 beta_1 and alpha_2 >beta_2 , then alpha_1 + beta_2 equals:

If alpha,beta are the roots of the equation x^2-4x+1=0, then Find the value of: 1- alpha^2+beta^2 , 2- alpha^3+beta^3 , 3- |alpha-beta| , 4- 1/alpha+1/beta

If w , w^(2) are the roots of x^(2)+x+1=0 and alpha, beta are the roots of x^(2)+px+q=0 then (w alpha+w^(2)beta)(w^(2)alpha+w beta) =

If alpha,beta re the roots of a x^2+c=b x , then the equation (a+c y)^2=b^2y in y has the roots a. alphabeta^(-1),alpha^(-1)beta b. alpha^(-2),beta^(-2) c. alpha^(-1),beta^(-1) d. alpha^2,beta^2

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

If alpha , beta ,1 are roots of x^3 -2x^2 -5x +6=0 ( alpha gt 1) then 3 alpha + beta=