Let `f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda).` If range of f(x) is the set of entire real numbers, the true set in which `lambda` lies is

Let f(x)=((2x^(3)-9x^(2)+12x+3)(x-a))/((x-a)) if range f(x) is proper sumset real number then the most exhaustive set in which a lies is

If f(x)=|(x,lambda),(2lambda,x)| , then f(lambdax)-f(x) is equal to

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

If range of f(x)=(2x^(2)+lambda)/(x^(2)+2) is [2,6] then (lambda)/(4)=

The values of lambda for which the function f(x)=lambdax^3-2lambdax^2+(lambda+1)x+3lambda is increasing through out number line (a) lambda in (-3,3) (b) lambda in (-3,0) (c) lambda in (0,3) (d) lambda in (1,3)

If f(x)=2x^3+9x^2+lambdax+20 is a decreasing function fo x in the largest possible interval (-2,-1) then lambda =

If f(x)=2x^3+9x^2+lambdax+20 is a decreasing function fo x in the largest possible interval (-2,-1) then lambda =

If f(x)= lambdae^(-lambdax),xgt0 is aprobability density function of X then its variance is :

If -3lt(x^(2)-lambdax-2)/(x^(2)+x+1)lt2 for all x inR , then the value of lambda belongs to